diff options
Diffstat (limited to 'test-suite')
111 files changed, 4235 insertions, 364 deletions
diff --git a/test-suite/Makefile b/test-suite/Makefile index 8239600b1d..f41fb5b1e4 100644 --- a/test-suite/Makefile +++ b/test-suite/Makefile @@ -8,9 +8,6 @@ ## # (see LICENSE file for the text of the license) ## ########################################################################## -# This is a standalone Makefile to run the test-suite. It can be used -# outside of the Coq source tree (if BIN is overridden). - # There is one %.v.log target per %.v test file. The target will be # filled with the output, timings and status of the test. There is # also one target per directory containing %.v files, that runs all @@ -23,6 +20,14 @@ # The "run" target runs all tests that have not been run yet. To force # all tests to be run, use the "clean" target. + +########################################################################### +# Includes +########################################################################### + +-include ../config/Makefile +include ../Makefile.common + ####################################################################### # Variables ####################################################################### @@ -79,6 +84,8 @@ log_anomaly = "==========> FAILURE <==========" log_failure = "==========> FAILURE <==========" log_intro = "==========> TESTING $(1) <==========" +FAIL = >&2 echo 'FAILED $@' + ####################################################################### # Testing subsystems ####################################################################### @@ -92,10 +99,10 @@ INTERACTIVE := interactive VSUBSYSTEMS := prerequisite success failure $(BUGS) output \ output-modulo-time $(INTERACTIVE) micromega $(COMPLEXITY) modules stm \ - coqdoc + coqdoc ssr # All subsystems -SUBSYSTEMS := $(VSUBSYSTEMS) misc bugs ide vio coqchk coqwc coq-makefile +SUBSYSTEMS := $(VSUBSYSTEMS) misc bugs ide vio coqchk coqwc coq-makefile unit-tests PREREQUISITELOG = prerequisite/admit.v.log \ prerequisite/make_local.v.log prerequisite/make_notation.v.log \ @@ -115,25 +122,27 @@ run: $(SUBSYSTEMS) bugs: $(BUGS) clean: - rm -f trace .lia.cache - $(SHOW) "RM <**/*.stamp> <**/*.vo> <**/*.vio> <**/*.log>" + rm -f trace .lia.cache output/MExtraction.out + $(SHOW) 'RM <**/*.stamp> <**/*.vo> <**/*.vio> <**/*.log> <**/*.glob>' $(HIDE)find . \( \ - -name '*.stamp' -o -name '*.vo' -o -name '*.vio' -o -name '*.log' \ - \) -print0 | xargs -0 rm -f - + -name '*.stamp' -o -name '*.vo' -o -name '*.vio' -o -name '*.log' -o -name '*.glob' \ + \) -print0 | xargs -0 rm -f + $(SHOW) 'RM <**/*.cmx> <**/*.cmi> <**/*.o> <**/*.test>' + $(HIDE)find unit-tests \( \ + -name '*.cmx' -o -name '*.cmi' -o -name '*.o' -o -name '*.test' \ + \) -print0 | xargs -0 rm -f distclean: clean - $(HIDE)find . -name '*.log' -print0 | xargs -0 rm -f + $(SHOW) 'RM <**/*.aux>' + $(HIDE)find . -name '*.aux' -print0 | xargs -0 rm -f ####################################################################### # Per-subsystem targets ####################################################################### -define mkstamp -$(1): $(1).stamp ; @true -$(1).stamp: $(patsubst %.v,%.v.log,$(wildcard $(1)/*.v)) ; \ - $(HIDE)touch $$@ +define vdeps +$(1): $(patsubst %.v,%.v.log,$(wildcard $(1)/*.v)) endef -$(foreach S,$(VSUBSYSTEMS),$(eval $(call mkstamp,$(S)))) +$(foreach S,$(VSUBSYSTEMS),$(eval $(call vdeps,$(S)))) ####################################################################### # Summary @@ -157,18 +166,20 @@ summary: $(call summary_dir, "Complexity tests", complexity); \ $(call summary_dir, "Module tests", modules); \ $(call summary_dir, "STM tests", stm); \ + $(call summary_dir, "SSR tests", ssr); \ $(call summary_dir, "IDE tests", ide); \ $(call summary_dir, "VI tests", vio); \ $(call summary_dir, "Coqchk tests", coqchk); \ $(call summary_dir, "Coqwc tests", coqwc); \ $(call summary_dir, "Coq makefile", coq-makefile); \ $(call summary_dir, "Coqdoc tests", coqdoc); \ + $(call summary_dir, "Unit tests", unit-tests); \ nb_success=`find . -name '*.log' -exec tail -n2 '{}' \; | grep -e $(log_success) | wc -l`; \ nb_failure=`find . -name '*.log' -exec tail -n2 '{}' \; | grep -e $(log_failure) | wc -l`; \ nb_tests=`expr $$nb_success + $$nb_failure`; \ - pourcentage=`expr 100 \* $$nb_success / $$nb_tests`; \ + percentage=`expr 100 \* $$nb_success / $$nb_tests`; \ echo; \ - echo "$$nb_success tests passed over $$nb_tests, i.e. $$pourcentage %"; \ + echo "$$nb_success tests passed over $$nb_tests, i.e. $$percentage %"; \ } summary.log: @@ -221,6 +232,7 @@ $(addsuffix .log,$(wildcard bugs/opened/*.v)): %.v.log: %.v else \ echo $(log_failure); \ echo " $<...Error! (bug seems to be closed, please check)"; \ + $(FAIL); \ fi; \ } > "$@" @@ -236,10 +248,49 @@ $(addsuffix .log,$(wildcard bugs/closed/*.v)): %.v.log: %.v else \ echo $(log_failure); \ echo " $<...Error! (bug seems to be opened, please check)"; \ + $(FAIL); \ fi; \ } > "$@" ####################################################################### +# Unit tests +####################################################################### + +OCAMLOPT := $(OCAMLFIND) opt $(CAMLFLAGS) +SYSMOD:=-package num,str,unix,dynlink,threads + +COQSRCDIRS:=$(addprefix -I $(LIB)/,$(CORESRCDIRS)) +COQCMXS:=$(addprefix $(LIB)/,$(LINKCMX)) + +# ML files from unit-test framework, not containing tests +UNIT_SRCFILES:=$(shell find ./unit-tests/src -name *.ml) +UNIT_ALLMLFILES:=$(shell find ./unit-tests -name *.ml) +UNIT_MLFILES:=$(filter-out $(UNIT_SRCFILES),$(UNIT_ALLMLFILES)) +UNIT_LOGFILES:=$(patsubst %.ml,%.ml.log,$(UNIT_MLFILES)) + +UNIT_CMXS=utest.cmx + +unit-tests/src/utest.cmx: unit-tests/src/utest.ml unit-tests/src/utest.cmi + $(SHOW) 'OCAMLOPT $<' + $(HIDE)$(OCAMLOPT) -c -I unit-tests/src -package oUnit $< +unit-tests/src/utest.cmi: unit-tests/src/utest.mli + $(SHOW) 'OCAMLOPT $<' + $(HIDE)$(OCAMLOPT) -package oUnit $< + +$(UNIT_LOGFILES): unit-tests/src/utest.cmx + +unit-tests: $(UNIT_LOGFILES) + +# Build executable, run it to generate log file +unit-tests/%.ml.log: unit-tests/%.ml + $(SHOW) 'TEST $<' + $(HIDE)$(OCAMLOPT) -linkall -linkpkg -cclib -lcoqrun \ + $(SYSMOD) -package camlp5.gramlib,oUnit \ + -I unit-tests/src $(COQSRCDIRS) $(COQCMXS) \ + $(UNIT_CMXS) $< -o $<.test; + $(HIDE)./$<.test + +####################################################################### # Other generic tests ####################################################################### @@ -251,13 +302,15 @@ $(addsuffix .log,$(wildcard prerequisite/*.v)): %.v.log: %.v if [ $$R != 0 ]; then \ echo $(log_failure); \ echo " $<...could not be prepared" ; \ + $(FAIL); \ else \ echo $(log_success); \ echo " $<...correctly prepared" ; \ fi; \ } > "$@" -$(addsuffix .log,$(wildcard success/*.v micromega/*.v modules/*.v)): %.v.log: %.v $(PREREQUISITELOG) +ssr: $(wildcard ssr/*.v:%.v=%.v.log) +$(addsuffix .log,$(wildcard ssr/*.v success/*.v micromega/*.v modules/*.v)): %.v.log: %.v $(PREREQUISITELOG) @echo "TEST $< $(call get_coq_prog_args_in_parens,"$<")" $(HIDE){ \ opts="$(if $(findstring modules/,$<),-R modules Mods -impredicative-set)"; \ @@ -269,6 +322,7 @@ $(addsuffix .log,$(wildcard success/*.v micromega/*.v modules/*.v)): %.v.log: %. else \ echo $(log_failure); \ echo " $<...Error! (should be accepted)"; \ + $(FAIL); \ fi; \ } > "$@" @@ -285,6 +339,7 @@ $(addsuffix .log,$(wildcard stm/*.v)): %.v.log: %.v else \ echo $(log_failure); \ echo " $<...Error! (should be accepted)"; \ + $(FAIL); \ fi; \ } > "$@" @@ -299,6 +354,7 @@ $(addsuffix .log,$(wildcard failure/*.v)): %.v.log: %.v $(PREREQUISITELOG) else \ echo $(log_failure); \ echo " $<...Error! (should be rejected)"; \ + $(FAIL); \ fi; \ } > "$@" @@ -321,6 +377,7 @@ $(addsuffix .log,$(wildcard output/*.v)): %.v.log: %.v %.out $(PREREQUISITELOG) else \ echo $(log_failure); \ echo " $<...Error! (unexpected output)"; \ + $(FAIL); \ fi; \ rm $$tmpoutput; \ } > "$@" @@ -363,6 +420,7 @@ $(addsuffix .log,$(wildcard output-modulo-time/*.v)): %.v.log: %.v %.out else \ echo $(log_failure); \ echo " $<...Error! (unexpected output)"; \ + $(FAIL); \ fi; \ rm $$tmpoutput; \ rm $$tmpexpected; \ @@ -379,6 +437,7 @@ $(addsuffix .log,$(wildcard interactive/*.v)): %.v.log: %.v $(PREREQUISITELOG) else \ echo $(log_failure); \ echo " $<...Error! (should be accepted)"; \ + $(FAIL); \ fi; \ } > "$@" @@ -411,6 +470,7 @@ $(addsuffix .log,$(wildcard complexity/*.v)): %.v.log: %.v $(PREREQUISITELOG) else \ echo $(log_failure); \ echo " $<...Error! (should run faster)"; \ + $(FAIL); \ fi; \ fi; \ } > "$@" @@ -428,6 +488,7 @@ $(addsuffix .log,$(wildcard ideal-features/*.v)): %.v.log: %.v $(PREREQUISITELOG else \ echo $(log_failure); \ echo " $<...Good news! (wish seems to be granted, please check)"; \ + $(FAIL); \ fi; \ } > "$@" @@ -462,6 +523,7 @@ $(patsubst %.sh,%.log,$(wildcard misc/*.sh)): %.log: %.sh $(PREREQUISITELOG) else \ echo $(log_failure); \ echo " $<...Error!"; \ + $(FAIL); \ fi; \ } > "$@" @@ -480,6 +542,7 @@ ide : $(patsubst %.fake,%.fake.log,$(wildcard ide/*.fake)) else \ echo $(log_failure); \ echo " $<...Error!"; \ + $(FAIL); \ fi; \ } > "$@" @@ -499,6 +562,7 @@ vio: $(patsubst %.v,%.vio.log,$(wildcard vio/*.v)) else \ echo $(log_failure); \ echo " $<...Error!"; \ + $(FAIL); \ fi; \ } > "$@" @@ -517,6 +581,7 @@ coqchk: $(patsubst %.v,%.chk.log,$(wildcard coqchk/*.v)) else \ echo $(log_failure); \ echo " $<...Error!"; \ + $(FAIL); \ fi; \ } > "$@" @@ -536,6 +601,7 @@ coqwc/%.v.log : coqwc/%.v else \ echo $(log_failure); \ echo " $<...Error! (unexpected output)"; \ + $(FAIL); \ fi; \ rm $$tmpoutput; \ } > "$@" @@ -556,6 +622,7 @@ coq-makefile/%.log : coq-makefile/%/run.sh else \ echo $(log_failure); \ echo " $<...Error!"; \ + $(FAIL); \ fi; \ ) > "$@" @@ -580,5 +647,6 @@ $(addsuffix .log,$(wildcard coqdoc/*.v)): %.v.log: %.v %.html.out %.tex.out $(PR else \ echo $(log_failure); \ echo " $<...Error! (unexpected output)"; \ + $(FAIL); \ fi; \ } > "$@" diff --git a/test-suite/README.md b/test-suite/README.md index 1d1195646e..4572c98cfe 100644 --- a/test-suite/README.md +++ b/test-suite/README.md @@ -73,3 +73,6 @@ When you fix a bug, you should usually add a regression test here as well. The error "(bug seems to be opened, please check)" when running `make test-suite` means that a test in `bugs/closed` failed to compile. There are also output tests in `test-suite/output` which consist of a `.v` file and a `.out` file with the expected output. + +There are unit tests of OCaml code in `test-suite/unit-tests`. These tests are contained in `.ml` files, and rely on the `OUnit` +unit-test framework, as described at http://ounit.forge.ocamlcore.org/. Use `make unit-tests' in the unit-tests directory to run them. diff --git a/test-suite/bugs/7333.v b/test-suite/bugs/7333.v new file mode 100644 index 0000000000..fba5b9029d --- /dev/null +++ b/test-suite/bugs/7333.v @@ -0,0 +1,39 @@ +Module Example1. + +CoInductive wrap : Type := + | item : unit -> wrap. + +Definition extract (t : wrap) : unit := +match t with +| item x => x +end. + +CoFixpoint close u : unit -> wrap := +match u with +| tt => item +end. + +Definition table : wrap := close tt tt. + +Eval vm_compute in (extract table). +Eval vm_compute in (extract table). + +End Example1. + +Module Example2. + +Set Primitive Projections. +CoInductive wrap : Type := + item { extract : unit }. + +CoFixpoint close u : unit -> wrap := +match u with +| tt => item +end. + +Definition table : wrap := close tt tt. + +Eval vm_compute in (extract table). +Eval vm_compute in (extract table). + +End Example2. diff --git a/test-suite/bugs/opened/1501.v b/test-suite/bugs/closed/1501.v index b36f21da1b..e771e192dc 100644 --- a/test-suite/bugs/opened/1501.v +++ b/test-suite/bugs/closed/1501.v @@ -3,6 +3,7 @@ Set Implicit Arguments. Require Export Relation_Definitions. Require Export Setoid. +Require Import Morphisms. Section Essais. @@ -40,57 +41,27 @@ Parameter Hint Resolve equiv_refl equiv_sym equiv_trans: monad. -Instance equiv_rel A: Equivalence (@equiv A). -Proof. - constructor. - intros xa; apply equiv_refl. - intros xa xb; apply equiv_sym. - intros xa xb xc; apply equiv_trans. -Defined. - -Definition fequiv (A B: Type) (f g: A -> K B) := forall (x:A), (equiv (f x) (g -x)). - -Lemma fequiv_refl : forall (A B: Type) (f : A -> K B), fequiv f f. -Proof. - unfold fequiv; auto with monad. -Qed. - -Lemma fequiv_sym : forall (A B: Type) (x y : A -> K B), fequiv x y -> fequiv y -x. -Proof. - unfold fequiv; auto with monad. -Qed. +Add Parametric Relation A : (K A) (@equiv A) + reflexivity proved by (@equiv_refl A) + symmetry proved by (@equiv_sym A) + transitivity proved by (@equiv_trans A) + as equiv_rel. -Lemma fequiv_trans : forall (A B: Type) (x y z : A -> K B), fequiv x y -> -fequiv -y z -> fequiv x z. +Add Parametric Morphism A B : (@bind A B) + with signature (@equiv A) ==> (pointwise_relation A (@equiv B)) ==> (@equiv B) + as bind_mor. Proof. - unfold fequiv; intros; eapply equiv_trans; auto with monad. -Qed. - -Instance fequiv_re A B: Equivalence (@fequiv A B). -Proof. - constructor. - intros f; apply fequiv_refl. - intros f g; apply fequiv_sym. - intros f g h; apply fequiv_trans. -Defined. - -Instance bind_mor A B: Morphisms.Proper (@equiv _ ==> @fequiv _ _ ==> @equiv _) (@bind A B). -Proof. - unfold fequiv; intros x y xy_equiv f g fg_equiv; apply bind_compat; auto. + unfold pointwise_relation; intros; apply bind_compat; auto. Qed. Lemma test: forall (A B: Type) (m1 m2 m3: K A) (f: A -> A -> K B), - (equiv m1 m2) -> (equiv m2 m3) -> - equiv (bind m1 (fun a => bind m2 (fun a' => f a a'))) - (bind m2 (fun a => bind m3 (fun a' => f a a'))). + (equiv m1 m2) -> (equiv m2 m3) -> + equiv (bind m1 (fun a => bind m2 (fun a' => f a a'))) + (bind m2 (fun a => bind m3 (fun a' => f a a'))). Proof. intros A B m1 m2 m3 f H1 H2. setoid_rewrite H1. (* this works *) - Fail setoid_rewrite H2. -Abort. -(* trivial by equiv_refl. -Qed.*) + setoid_rewrite H2. + reflexivity. +Qed. diff --git a/test-suite/bugs/closed/2001.v b/test-suite/bugs/closed/2001.v index d0b3bf1732..652c65706a 100644 --- a/test-suite/bugs/closed/2001.v +++ b/test-suite/bugs/closed/2001.v @@ -7,7 +7,7 @@ Inductive T : Set := | v : T. Definition f (s:nat) (t:T) : nat. -fix 2. +fix f 2. intros s t. refine match t with diff --git a/test-suite/bugs/opened/2456.v b/test-suite/bugs/closed/2456.v index 5294adefd3..e5a392c4d3 100644 --- a/test-suite/bugs/opened/2456.v +++ b/test-suite/bugs/closed/2456.v @@ -50,4 +50,9 @@ Fail dependent destruction commute1; dependent destruction catchCommuteDetails; dependent destruction commute2; dependent destruction catchCommuteDetails generalizing X. -Admitted. +revert X. +dependent destruction commute1; +dependent destruction catchCommuteDetails; +dependent destruction commute2; +dependent destruction catchCommuteDetails. +Abort. diff --git a/test-suite/bugs/opened/2814.v b/test-suite/bugs/closed/2814.v index a740b4384d..99da1e3e44 100644 --- a/test-suite/bugs/opened/2814.v +++ b/test-suite/bugs/closed/2814.v @@ -3,3 +3,4 @@ Require Import Program. Goal forall (x : Type) (f g : Type -> Type) (H : f x ~= g x), False. intros. Fail induction H. +Abort. diff --git a/test-suite/bugs/closed/2969.v b/test-suite/bugs/closed/2969.v index a03adbd73c..7b1a261789 100644 --- a/test-suite/bugs/closed/2969.v +++ b/test-suite/bugs/closed/2969.v @@ -12,6 +12,7 @@ eexists. reflexivity. Grab Existential Variables. admit. +Admitted. (* Alternative variant which failed but without raising anomaly *) @@ -24,3 +25,4 @@ clearbody n n0. exact I. Grab Existential Variables. admit. +Admitted. diff --git a/test-suite/bugs/opened/3100.v b/test-suite/bugs/closed/3100.v index 6f35a74dc1..6f35a74dc1 100644 --- a/test-suite/bugs/opened/3100.v +++ b/test-suite/bugs/closed/3100.v diff --git a/test-suite/bugs/opened/3230.v b/test-suite/bugs/closed/3230.v index 265310b1a3..265310b1a3 100644 --- a/test-suite/bugs/opened/3230.v +++ b/test-suite/bugs/closed/3230.v diff --git a/test-suite/bugs/opened/3320.v b/test-suite/bugs/closed/3320.v index 05cf73281d..a5c243d8e3 100644 --- a/test-suite/bugs/opened/3320.v +++ b/test-suite/bugs/closed/3320.v @@ -1,4 +1,5 @@ Goal forall x : nat, True. - fix 1. + fix goal 1. assumption. Fail Qed. +Undo. diff --git a/test-suite/bugs/closed/3350.v b/test-suite/bugs/closed/3350.v index c041c401fd..c1ff292b3e 100644 --- a/test-suite/bugs/closed/3350.v +++ b/test-suite/bugs/closed/3350.v @@ -55,7 +55,7 @@ Lemma lower_ind (P: forall n (p i:Fin.t (S n)), option (Fin.t n) -> Prop) P (S n) (Fin.FS p) (Fin.FS i) None) : forall n (p i:Fin.t (S n)), P n p i (lower p i). Proof. - fix 2. intros n p. + fix lower_ind 2. intros n p. refine (match p as p1 in Fin.t (S n1) return forall (i1:Fin.t (S n1)), P n1 p1 i1 (lower p1 i1) with diff --git a/test-suite/bugs/closed/3377.v b/test-suite/bugs/closed/3377.v index 8e9e3933cc..abfcf1d355 100644 --- a/test-suite/bugs/closed/3377.v +++ b/test-suite/bugs/closed/3377.v @@ -5,6 +5,7 @@ Record prod A B := pair { fst : A; snd : B}. Goal fst (@pair Type Type Type Type). Set Printing All. match goal with |- ?f ?x => set (foo := f x) end. +Abort. Goal forall x : prod Set Set, x = @pair _ _ (fst x) (snd x). Proof. @@ -12,6 +13,6 @@ Proof. lazymatch goal with | [ |- ?x = @pair _ _ (?f ?x) (?g ?x) ] => pose f end. - (* Toplevel input, characters 7-44: Error: No matching clauses for match. *) +Abort. diff --git a/test-suite/bugs/closed/4069.v b/test-suite/bugs/closed/4069.v index 606c6e0845..668f6bb428 100644 --- a/test-suite/bugs/closed/4069.v +++ b/test-suite/bugs/closed/4069.v @@ -41,6 +41,8 @@ Proof. f_equal. 8.5: 2 goals, skipn n l = l -> k ++ skipn n l = skipn n l and skipn n l = l *) +Abort. + Require Import List. Fixpoint replicate {A} (n : nat) (x : A) : list A := match n with 0 => nil | S n => x :: replicate n x end. diff --git a/test-suite/bugs/closed/4198.v b/test-suite/bugs/closed/4198.v index eb37141bcf..28800ac05a 100644 --- a/test-suite/bugs/closed/4198.v +++ b/test-suite/bugs/closed/4198.v @@ -13,6 +13,7 @@ Goal forall A (x x' : A) (xs xs' : list A) (H : x::xs = x'::xs'), match goal with | [ |- context G[@hd] ] => idtac end. +Abort. (* This second example comes from CFGV where inspecting subterms of a match is expecting to inspect first the term to match (even though @@ -35,3 +36,4 @@ Ltac mydestruct := Goal forall x, match x with 0 => 0 | _ => 0 end = 0. intros. mydestruct. +Abort. diff --git a/test-suite/bugs/closed/4403.v b/test-suite/bugs/closed/4403.v new file mode 100644 index 0000000000..a80f38fe2a --- /dev/null +++ b/test-suite/bugs/closed/4403.v @@ -0,0 +1,3 @@ +(* -*- coq-prog-args: ("-type-in-type"); -*- *) + +Definition some_prop : Prop := Type. diff --git a/test-suite/bugs/closed/4722.v b/test-suite/bugs/closed/4722.v deleted file mode 100644 index 2d41828f19..0000000000 --- a/test-suite/bugs/closed/4722.v +++ /dev/null @@ -1 +0,0 @@ -(* -*- coq-prog-args: ("-R" "4722" "Foo") -*- *) diff --git a/test-suite/bugs/closed/4722/tata b/test-suite/bugs/closed/4722/tata deleted file mode 120000 index b38e66e75f..0000000000 --- a/test-suite/bugs/closed/4722/tata +++ /dev/null @@ -1 +0,0 @@ -toto
\ No newline at end of file diff --git a/test-suite/bugs/closed/4782.v b/test-suite/bugs/closed/4782.v index dbd71035dc..1e1a4cb9c2 100644 --- a/test-suite/bugs/closed/4782.v +++ b/test-suite/bugs/closed/4782.v @@ -6,6 +6,7 @@ Inductive p : Prop := consp : forall (e : r) (x : type e), cond e x -> p. Goal p. Fail apply consp with (fun _ : bool => mk_r unit (fun x => True)) nil. +Abort. (* A simplification of an example from coquelicot, which was failing at some time after a fix #4782 was committed. *) @@ -21,4 +22,5 @@ Set Typeclasses Debug. Goal forall (A:T) (x:dom A), pairT A A = pairT A A. intros. apply (F _ _) with (x,x). +Abort. diff --git a/test-suite/bugs/closed/6951.v b/test-suite/bugs/closed/6951.v new file mode 100644 index 0000000000..419f8d7c4e --- /dev/null +++ b/test-suite/bugs/closed/6951.v @@ -0,0 +1,2 @@ +Record float2 : Set := Float2 { Fnum : unit }. +Scheme Equality for float2. diff --git a/test-suite/bugs/closed/7392.v b/test-suite/bugs/closed/7392.v new file mode 100644 index 0000000000..cf465c6588 --- /dev/null +++ b/test-suite/bugs/closed/7392.v @@ -0,0 +1,9 @@ +Inductive R : nat -> Prop := ER : forall n, R n -> R (S n). + +Goal (forall (n : nat), R n -> False) -> True -> False. +Proof. +intros H0 H1. +eapply H0. +clear H1. +apply ER. +simpl. diff --git a/test-suite/bugs/closed/7462.v b/test-suite/bugs/closed/7462.v new file mode 100644 index 0000000000..40ca39e38a --- /dev/null +++ b/test-suite/bugs/closed/7462.v @@ -0,0 +1,13 @@ +(* Adding an only-printing notation should not override existing + interpretations for the same notation. *) + +Notation "$ x" := (@id nat x) (only parsing, at level 0). +Notation "$ x" := (@id bool x) (only printing, at level 0). +Check $1. (* Was: Error: Unknown interpretation for notation "$ _". *) + +(* Adding an only-printing notation should not let believe + that a parsing rule has been given *) + +Notation "$ x" := (@id bool x) (only printing, at level 0). +Notation "$ x" := (@id nat x) (only parsing, at level 0). +Check $1. (* Was: Error: Syntax Error: Lexer: Undefined token *) diff --git a/test-suite/bugs/closed/7554.v b/test-suite/bugs/closed/7554.v new file mode 100644 index 0000000000..12b0aa2cb5 --- /dev/null +++ b/test-suite/bugs/closed/7554.v @@ -0,0 +1,12 @@ +Require Import Coq.Program.Tactics. + +(* these should not result in anomalies *) + +Fail Program Lemma foo: + forall P, forall H, forall (n:nat), P n. + +Fail Program Lemma foo: + forall a (P : list a -> Prop), forall H, forall (n:list a), P n. + +Fail Program Lemma foo: + forall (a : Type) (P : list a -> Prop), forall H, forall (n:list a), P n. diff --git a/test-suite/bugs/opened/3209.v b/test-suite/bugs/opened/3209.v deleted file mode 100644 index 3203afa139..0000000000 --- a/test-suite/bugs/opened/3209.v +++ /dev/null @@ -1,17 +0,0 @@ -Inductive eqT {A} (x : A) : A -> Type := - reflT : eqT x x. -Definition Bi_inv (A B : Type) (f : (A -> B)) := - sigT (fun (g : B -> A) => - sigT (fun (h : B -> A) => - sigT (fun (α : forall b : B, eqT (f (g b)) b) => - forall a : A, eqT (h (f a)) a))). -Definition TEquiv (A B : Type) := sigT (fun (f : A -> B) => Bi_inv _ _ f). - -Axiom UA : forall (A B : Type), TEquiv (TEquiv A B) (eqT A B). -Definition idtoeqv {A B} (e : eqT A B) : TEquiv A B := - sigT_rect (fun _ => TEquiv A B) - (fun (f : TEquiv A B -> eqT A B) H => - sigT_rect (fun _ => TEquiv A B) - (fun g _ => g e) - H) - (UA A B). diff --git a/test-suite/bugs/opened/3263.v b/test-suite/bugs/opened/3263.v deleted file mode 100644 index f0c707bd10..0000000000 --- a/test-suite/bugs/opened/3263.v +++ /dev/null @@ -1,232 +0,0 @@ -Require Import TestSuite.admit. -(* File reduced by coq-bug-finder from originally 10918 lines, then 3649 lines to 3177 lines, then from 3189 lines to 3164 lines, then from 2653 lines to 2496 lines, 2653 lines, then from 1642 lines to 651 lines, then from 736 lines to 473 lines, then from 433 lines to 275 lines, then from 258 lines to 235 lines. *) -Generalizable All Variables. -Set Implicit Arguments. - -Arguments fst {_ _} _. -Arguments snd {_ _} _. - -Axiom cheat : forall {T}, T. - -Reserved Notation "g 'o' f" (at level 40, left associativity). - -Inductive paths {A : Type} (a : A) : A -> Type := idpath : paths a a. -Arguments idpath {A a} , [A] a. -Notation "x = y" := (paths x y) : type_scope. - -Definition symmetry {A : Type} {x y : A} (p : x = y) : y = x - := match p with idpath => idpath end. - -Delimit Scope morphism_scope with morphism. -Delimit Scope category_scope with category. -Delimit Scope object_scope with object. -Record PreCategory (object : Type) := - Build_PreCategory' { - object :> Type := object; - morphism : object -> object -> Type; - identity : forall x, morphism x x; - compose : forall s d d', - morphism d d' - -> morphism s d - -> morphism s d' - where "f 'o' g" := (compose f g); - associativity : forall x1 x2 x3 x4 - (m1 : morphism x1 x2) - (m2 : morphism x2 x3) - (m3 : morphism x3 x4), - (m3 o m2) o m1 = m3 o (m2 o m1); - associativity_sym : forall x1 x2 x3 x4 - (m1 : morphism x1 x2) - (m2 : morphism x2 x3) - (m3 : morphism x3 x4), - m3 o (m2 o m1) = (m3 o m2) o m1; - left_identity : forall a b (f : morphism a b), identity b o f = f; - right_identity : forall a b (f : morphism a b), f o identity a = f; - identity_identity : forall x, identity x o identity x = identity x - }. -Bind Scope category_scope with PreCategory. -Arguments PreCategory {_}. -Arguments identity {_} [!C%category] x%object : rename. - -Arguments compose {_} [!C%category s%object d%object d'%object] m1%morphism m2%morphism : rename. - -Infix "o" := compose : morphism_scope. - -Delimit Scope functor_scope with functor. -Local Open Scope morphism_scope. -Record Functor `(C : @PreCategory objC, D : @PreCategory objD) := - { - object_of :> C -> D; - morphism_of : forall s d, morphism C s d - -> morphism D (object_of s) (object_of d); - composition_of : forall s d d' - (m1 : morphism C s d) (m2: morphism C d d'), - morphism_of _ _ (m2 o m1) - = (morphism_of _ _ m2) o (morphism_of _ _ m1); - identity_of : forall x, morphism_of _ _ (identity x) - = identity (object_of x) - }. -Bind Scope functor_scope with Functor. - -Arguments morphism_of {_} [C%category] {_} [D%category] F%functor [s%object d%object] m%morphism : rename, simpl nomatch. - -Notation "F '_1' m" := (morphism_of F m) (at level 10, no associativity) : morphism_scope. - -Class IsIsomorphism `{C : @PreCategory objC} {s d} (m : morphism C s d) := - { - morphism_inverse : morphism C d s; - left_inverse : morphism_inverse o m = identity _; - right_inverse : m o morphism_inverse = identity _ - }. - -Definition opposite `(C : @PreCategory objC) : PreCategory - := @Build_PreCategory' - C - (fun s d => morphism C d s) - (identity (C := C)) - (fun _ _ _ m1 m2 => m2 o m1) - (fun _ _ _ _ _ _ _ => @associativity_sym _ _ _ _ _ _ _ _ _) - (fun _ _ _ _ _ _ _ => @associativity _ _ _ _ _ _ _ _ _) - (fun _ _ => @right_identity _ _ _ _) - (fun _ _ => @left_identity _ _ _ _) - (@identity_identity _ C). - -Notation "C ^op" := (opposite C) (at level 3) : category_scope. - -Definition prod `(C : @PreCategory objC, D : @PreCategory objD) : @PreCategory (objC * objD). - refine (@Build_PreCategory' - (C * D)%type - (fun s d => (morphism C (fst s) (fst d) - * morphism D (snd s) (snd d))%type) - (fun x => (identity (fst x), identity (snd x))) - (fun s d d' m2 m1 => (fst m2 o fst m1, snd m2 o snd m1)) - _ - _ - _ - _ - _); admit. -Defined. -Infix "*" := prod : category_scope. - -Definition compose_functor `(C : @PreCategory objC, D : @PreCategory objD, E : @PreCategory objE) (G : Functor D E) (F : Functor C D) : Functor C E - := Build_Functor - C E - (fun c => G (F c)) - (fun _ _ m => morphism_of G (morphism_of F m)) - cheat - cheat. - -Infix "o" := compose_functor : functor_scope. - -Record NaturalTransformation `(C : @PreCategory objC, D : @PreCategory objD) (F G : Functor C D) := - Build_NaturalTransformation' { - components_of :> forall c, morphism D (F c) (G c); - commutes : forall s d (m : morphism C s d), - components_of d o F _1 m = G _1 m o components_of s; - - commutes_sym : forall s d (m : C.(morphism) s d), - G _1 m o components_of s = components_of d o F _1 m - }. -Definition functor_category `(C : @PreCategory objC, D : @PreCategory objD) : PreCategory - := @Build_PreCategory' (Functor C D) - (@NaturalTransformation _ C _ D) - cheat - cheat - cheat - cheat - cheat - cheat - cheat. - -Definition opposite_functor `(F : @Functor objC C objD D) : Functor C^op D^op - := Build_Functor (C^op) (D^op) - (object_of F) - (fun s d => morphism_of F (s := d) (d := s)) - (fun d' d s m1 m2 => composition_of F s d d' m2 m1) - (identity_of F). - -Definition opposite_invL `(F : @Functor objC C^op objD D) : Functor C D^op - := Build_Functor C (D^op) - (object_of F) - (fun s d => morphism_of F (s := d) (d := s)) - (fun d' d s m1 m2 => composition_of F s d d' m2 m1) - (identity_of F). -Notation "F ^op" := (opposite_functor F) : functor_scope. - -Notation "F ^op'L" := (opposite_invL F) (at level 3) : functor_scope. -Definition fst `{C : @PreCategory objC, D : @PreCategory objD} : Functor (C * D) C - := Build_Functor (C * D) C - (@fst _ _) - (fun _ _ => @fst _ _) - (fun _ _ _ _ _ => idpath) - (fun _ => idpath). - -Definition snd `{C : @PreCategory objC, D : @PreCategory objD} : Functor (C * D) D - := Build_Functor (C * D) D - (@snd _ _) - (fun _ _ => @snd _ _) - (fun _ _ _ _ _ => idpath) - (fun _ => idpath). -Definition prod_functor `(F : @Functor objC C objD D, F' : @Functor objC C objD' D') -: Functor C (D * D') - := Build_Functor - C (D * D') - (fun c => (F c, F' c)) - (fun s d m => (F _1 m, F' _1 m))%morphism - cheat - cheat. -Definition pair `(F : @Functor objC C objD D, F' : @Functor objC' C' objD' D') : Functor (C * C') (D * D') - := (prod_functor (F o fst) (F' o snd))%functor. -Notation cat_of obj := - (@Build_PreCategory' obj - (fun x y => forall _ : x, y) - (fun _ x => x) - (fun _ _ _ f g x => f (g x))%core - (fun _ _ _ _ _ _ _ => idpath) - (fun _ _ _ _ _ _ _ => idpath) - (fun _ _ _ => idpath) - (fun _ _ _ => idpath) - (fun _ => idpath)). - -Definition hom_functor `(C : @PreCategory objC) : Functor (C^op * C) (cat_of Type) - := Build_Functor _ _ cheat cheat cheat cheat. - -Definition induced_hom_natural_transformation `(F : @Functor objC C objD D) -: NaturalTransformation (hom_functor C) (hom_functor D o pair F^op F) - := Build_NaturalTransformation' _ _ cheat cheat cheat. - -Class IsFullyFaithful `(F : @Functor objC C objD D) - := is_fully_faithful - : forall x y : C, - IsIsomorphism (induced_hom_natural_transformation F (x, y)). - -Definition coyoneda `(A : @PreCategory objA) : Functor A^op (@functor_category _ A _ (cat_of Type)) - := cheat. - -Definition yoneda `(A : @PreCategory objA) : Functor A (@functor_category _ A^op _ (cat_of Type)) - := (((coyoneda A^op)^op'L)^op'L)%functor. -Definition coyoneda_embedding `(A : @PreCategory objA) : @IsFullyFaithful _ _ _ _ (@coyoneda _ A). -Admitted. - -Definition yoneda_embedding_fast `(A : @PreCategory objA) : @IsFullyFaithful _ _ _ _ (@yoneda _ A). -Proof. - intros a b. - pose proof (coyoneda_embedding A^op a b) as CYE. - unfold yoneda. - Time let t := (type of CYE) in - let t' := (eval simpl in t) in pose proof ((fun (x : t) => (x : t')) CYE) as CYE'. (* Finished transaction in 0. secs (0.216013u,0.004s) *) - Fail Timeout 1 let t := match goal with |- ?G => constr:(G) end in - let t' := (eval simpl in t) in exact ((fun (x : t') => (x : t)) CYE'). - Time let t := match goal with |- ?G => constr:(G) end in - let t' := (eval simpl in t) in exact ((fun (x : t') => (x : t)) CYE'). (* Finished transaction in 0. secs (0.248016u,0.s) *) -Fail Timeout 2 Defined. -Time Defined. (* Finished transaction in 1. secs (0.432027u,0.s) *) - -Definition yoneda_embedding `(A : @PreCategory objA) : @IsFullyFaithful _ _ _ _ (@yoneda _ A). -Proof. - intros a b. - pose proof (coyoneda_embedding A^op a b) as CYE. - unfold yoneda; simpl in *. - Fail Timeout 1 exact CYE. - Time exact CYE. (* Finished transaction in 0. secs (0.012001u,0.s) *) -Fail Timeout 60 Defined. (* Timeout! *) diff --git a/test-suite/bugs/opened/3916.v b/test-suite/bugs/opened/3916.v deleted file mode 100644 index fd95503e6b..0000000000 --- a/test-suite/bugs/opened/3916.v +++ /dev/null @@ -1,3 +0,0 @@ -Require Import List. - -Fail Hint Resolve -> in_map. (* Also happens when using <- instead of -> *) diff --git a/test-suite/bugs/opened/3948.v b/test-suite/bugs/opened/3948.v deleted file mode 100644 index 5c4b4277b2..0000000000 --- a/test-suite/bugs/opened/3948.v +++ /dev/null @@ -1,25 +0,0 @@ -Module Type S. -Parameter t : Type. -End S. - -Module Bar(X : S). -Proof. - Definition elt := X.t. - Axiom fold : elt. -End Bar. - -Module Make (X: S) := Bar(X). - -Declare Module X : S. - -Module Type Interface. - Parameter constant : unit. -End Interface. - -Module DepMap : Interface. - Module Dom := Make(X). - Definition constant : unit := - let _ := @Dom.fold in tt. -End DepMap. - -Print Assumptions DepMap.constant. diff --git a/test-suite/bugs/opened/4813.v b/test-suite/bugs/opened/4813.v index b75170179b..2ac5535934 100644 --- a/test-suite/bugs/opened/4813.v +++ b/test-suite/bugs/opened/4813.v @@ -1,5 +1,5 @@ -(* An example one would like to see succeeding *) +Require Import Program.Tactics. Record T := BT { t : Set }. Record U (x : T) := BU { u : t x -> Prop }. -Fail Definition A (H : unit -> Prop) : U (BT unit) := BU _ H. +Program Definition A (H : unit -> Prop) : U (BT unit) := BU _ H. diff --git a/test-suite/check b/test-suite/check deleted file mode 100755 index 3d14f6bc03..0000000000 --- a/test-suite/check +++ /dev/null @@ -1,7 +0,0 @@ -#!/bin/sh - -MAKE="${MAKE:=make}" - -${MAKE} clean > /dev/null 2>&1 -${MAKE} all > /dev/null 2>&1 -cat summary.log diff --git a/test-suite/coq-makefile/timing/run.sh b/test-suite/coq-makefile/timing/run.sh index 11a04d5c2c..6737197ee4 100755 --- a/test-suite/coq-makefile/timing/run.sh +++ b/test-suite/coq-makefile/timing/run.sh @@ -44,6 +44,7 @@ TO_SED_IN_BOTH=( -e s'/ *$//g' # the number of trailing spaces depends on how many digits percentages end up being; since this varies across runs, we remove trailing spaces -e s'/[0-9]*\.[0-9]*//g' # the precise timing numbers vary, so we strip them out -e s'/^-*$/------/g' # When none of the numbers get over 100 (or 1000, in per-file), the width of the table is different, so we normalize the number of dashes for table separators + -e s'/+/-/g' # some code lines don't really change, but this can show up as either -0m00.01s or +0m00.01s, so we need to normalize the signs; additionally, some N/A's show up where we expect to get -∞ on the per-line file, and so the ∞-replacement gets the sign wrong, so we must correct it ) TO_SED_IN_PER_FILE=( @@ -55,7 +56,6 @@ TO_SED_IN_PER_FILE=( TO_SED_IN_PER_LINE=( -e s'/0//g' # unclear whether this is actually needed above and beyond s'/[0-9]*\.[0-9]*//g'; it's been here from the start -e s'/ */ /g' # Sometimes 0 will show up as 0m00.s, sometimes it'll end up being more like 0m00.001s; we must strip out the spaces that result from left-aligning numbers of different widths based on how many digits Coq's [-time] gives - -e s'/+/-/g' # some code lines don't really change, but this can show up as either -0m00.01s or +0m00.01s, so we need to normalize the signs ) for file in time-of-build-before.log time-of-build-after.log time-of-build-both.log; do diff --git a/test-suite/coqchk/bug_7539.v b/test-suite/coqchk/bug_7539.v new file mode 100644 index 0000000000..74ebe9290d --- /dev/null +++ b/test-suite/coqchk/bug_7539.v @@ -0,0 +1,26 @@ +Set Primitive Projections. + +CoInductive Stream : Type := Cons { tl : Stream }. + +Fixpoint Str_nth_tl (n:nat) (s:Stream) : Stream := + match n with + | O => s + | S m => Str_nth_tl m (tl s) + end. + +CoInductive EqSt (s1 s2: Stream) : Prop := eqst { + eqst_tl : EqSt (tl s1) (tl s2); +}. + +Axiom EqSt_reflex : forall (s : Stream), EqSt s s. + +CoFixpoint map (s:Stream) : Stream := Cons (map (tl s)). + +Lemma Str_nth_tl_map : forall n s, EqSt (Str_nth_tl n (map s)) (map (Str_nth_tl n s)). +Proof. +induction n. ++ intros; apply EqSt_reflex. ++ cbn; intros s; apply IHn. +Qed. + +Definition boom : forall s, tl (map s) = map (tl s) := fun s => eq_refl. diff --git a/test-suite/coqchk/univ.v b/test-suite/coqchk/univ.v index 19eea94b19..216338615d 100644 --- a/test-suite/coqchk/univ.v +++ b/test-suite/coqchk/univ.v @@ -46,3 +46,44 @@ Inductive constraint4 : (Type -> Type) -> Type := mk_constraint4 : let U1 := Type in let U2 := Type in constraint4 (fun x : U1 => (x : U2)). + +Module CMP_CON. + (* Comparison of opaque constants MUST be up to the universe graph. + See #6798. *) + Universe big. + + Polymorphic Lemma foo@{u} : Type@{big}. + Proof. exact Type@{u}. Qed. + + Universes U V. + + Definition yo : foo@{U} = foo@{V} := eq_refl. +End CMP_CON. + +Set Universe Polymorphism. + +Module POLY_SUBTYP. + + Module Type T. + Axiom foo : Type. + Parameter bar@{u v|u = v} : foo@{u}. + End T. + + Module M. + Axiom foo : Type. + Axiom bar@{u v|u = v} : foo@{v}. + End M. + + Module F (A:T). End F. + + Module X := F M. + +End POLY_SUBTYP. + +Module POLY_IND. + + Polymorphic Inductive ind@{u v | u < v} : Prop := . + + Polymorphic Definition cst@{u v | v < u} := Prop. + +End POLY_IND. diff --git a/test-suite/ide/undo012.fake b/test-suite/ide/undo012.fake index b3d1c6d534..c95df1b11c 100644 --- a/test-suite/ide/undo012.fake +++ b/test-suite/ide/undo012.fake @@ -3,6 +3,7 @@ # # Test backtracking in presence of nested proofs # +ADD { Set Nested Proofs Allowed. } ADD { Lemma aa : True -> True /\ True. } ADD { intro H. } ADD { split. } diff --git a/test-suite/ide/undo013.fake b/test-suite/ide/undo013.fake index 921a9d0f0d..a3ccefd2ca 100644 --- a/test-suite/ide/undo013.fake +++ b/test-suite/ide/undo013.fake @@ -4,6 +4,7 @@ # Test backtracking in presence of nested proofs # Second, trigger the undo of an inner proof # +ADD { Set Nested Proofs Allowed. } ADD { Lemma aa : True -> True /\ True. } ADD { intro H. } ADD { split. } diff --git a/test-suite/ide/undo014.fake b/test-suite/ide/undo014.fake index f5fe774704..13e718229c 100644 --- a/test-suite/ide/undo014.fake +++ b/test-suite/ide/undo014.fake @@ -4,6 +4,7 @@ # Test backtracking in presence of nested proofs # Third, undo inside an inner proof # +ADD { Set Nested Proofs Allowed. } ADD { Lemma aa : True -> True /\ True. } ADD { intro H. } ADD { split. } diff --git a/test-suite/ide/undo015.fake b/test-suite/ide/undo015.fake index a1e5c947b3..9cbd64460d 100644 --- a/test-suite/ide/undo015.fake +++ b/test-suite/ide/undo015.fake @@ -4,6 +4,7 @@ # Test backtracking in presence of nested proofs # Fourth, undo from an inner proof to a above proof # +ADD { Set Nested Proofs Allowed. } ADD { Lemma aa : True -> True /\ True. } ADD { intro H. } ADD { split. } diff --git a/test-suite/ide/undo016.fake b/test-suite/ide/undo016.fake index f9414c1ea7..15bd3cc92d 100644 --- a/test-suite/ide/undo016.fake +++ b/test-suite/ide/undo016.fake @@ -4,6 +4,7 @@ # Test backtracking in presence of nested proofs # Fifth, undo from an inner proof to a previous inner proof # +ADD { Set Nested Proofs Allowed. } ADD { Lemma aa : True -> True /\ True. } ADD { intro H. } ADD { split. } diff --git a/test-suite/misc/.gitignore b/test-suite/misc/.gitignore new file mode 100644 index 0000000000..a4083e9314 --- /dev/null +++ b/test-suite/misc/.gitignore @@ -0,0 +1,2 @@ +4722/ +4722.v diff --git a/test-suite/misc/4722.sh b/test-suite/misc/4722.sh new file mode 100755 index 0000000000..86bc50b5cd --- /dev/null +++ b/test-suite/misc/4722.sh @@ -0,0 +1,15 @@ +#!/bin/sh +set -e + +# create test files +mkdir -p misc/4722 +ln -sf toto misc/4722/tata +touch misc/4722.v + +# run test +$coqtop "-R" "misc/4722" "Foo" -top Top -load-vernac-source misc/4722.v + +# clean up test files +rm misc/4722/tata +rmdir misc/4722 +rm misc/4722.v diff --git a/test-suite/misc/coqc_dash_o.sh b/test-suite/misc/coqc_dash_o.sh new file mode 100755 index 0000000000..0ae7873fd9 --- /dev/null +++ b/test-suite/misc/coqc_dash_o.sh @@ -0,0 +1,15 @@ +#!/usr/bin/env bash + +DOUT=misc/tmp_coqc_dash_o/ +OUT=${DOUT}coqc_dash_o.vo + + +mkdir -p "${DOUT}" +rm -f "${OUT}" +$coqc misc/coqc_dash_o.v -o "${OUT}" +if [ ! -f "${OUT}" ]; then + printf "coqc -o not working" + exit 1 +fi +rm -fr "${DOUT}" +exit 0 diff --git a/test-suite/misc/coqc_dash_o.v b/test-suite/misc/coqc_dash_o.v new file mode 100644 index 0000000000..7426dff1a0 --- /dev/null +++ b/test-suite/misc/coqc_dash_o.v @@ -0,0 +1 @@ +Definition x := nat. diff --git a/test-suite/output/Cases.v b/test-suite/output/Cases.v index caf3b28701..4740c009a4 100644 --- a/test-suite/output/Cases.v +++ b/test-suite/output/Cases.v @@ -163,6 +163,7 @@ match goal with |- ?y + _ = _ => pose (match y as y with 0 => 0 | S n => 0 end) match goal with |- ?y + _ = _ => pose (match y as y return y=y with 0 => eq_refl | S n => eq_refl end) end. match goal with |- ?y + _ = _ => pose (match y return y=y with 0 => eq_refl | S n => eq_refl end) end. Show. +Abort. Lemma lem5 (p:nat) : eq_refl p = eq_refl p. let y := fresh "n" in (* Checking that y is hidden *) diff --git a/test-suite/output/Notations3.out b/test-suite/output/Notations3.out index 304353f559..996af59270 100644 --- a/test-suite/output/Notations3.out +++ b/test-suite/output/Notations3.out @@ -231,3 +231,13 @@ fun l : list nat => match l with : list nat -> list nat Argument scope is [list_scope] +Notation +"'exists' x .. y , p" := ex (fun x => .. (ex (fun y => p)) ..) : type_scope +(default interpretation) +"'exists' ! x .. y , p" := ex + (unique + (fun x => .. (ex (unique (fun y => p))) ..)) +: type_scope (default interpretation) +Notation +"( x , y , .. , z )" := pair .. (pair x y) .. z : core_scope +(default interpretation) diff --git a/test-suite/output/Notations3.v b/test-suite/output/Notations3.v index d2d1369468..3cf0c913f7 100644 --- a/test-suite/output/Notations3.v +++ b/test-suite/output/Notations3.v @@ -380,3 +380,8 @@ Definition foo (l : list nat) := end. Print foo. End Issue7110. + +Module LocateNotations. +Locate "exists". +Locate "( _ , _ , .. , _ )". +End LocateNotations. diff --git a/test-suite/output/UnclosedBlocks.out b/test-suite/output/UnclosedBlocks.out index b83e94ad43..31481e84a5 100644 --- a/test-suite/output/UnclosedBlocks.out +++ b/test-suite/output/UnclosedBlocks.out @@ -1,3 +1,2 @@ - Error: The section Baz, module type Bar and module Foo need to be closed. diff --git a/test-suite/output/ltac.v b/test-suite/output/ltac.v index 6adbe95dd5..901b1e3aa6 100644 --- a/test-suite/output/ltac.v +++ b/test-suite/output/ltac.v @@ -37,17 +37,20 @@ Fail g1 I. Fail f1 I. Fail g2 I. Fail f2 I. +Abort. Ltac h x := injection x. Goal True -> False. Fail h I. intro H. Fail h H. +Abort. (* Check printing of the "var" argument "Hx" *) Ltac m H := idtac H; exact H. Goal True. let a:=constr:(let Hx := 0 in ltac:(m Hx)) in idtac. +Abort. (* Check consistency of interpretation scopes (#4398) *) diff --git a/test-suite/output/ssr_explain_match.out b/test-suite/output/ssr_explain_match.out new file mode 100644 index 0000000000..fa2393b910 --- /dev/null +++ b/test-suite/output/ssr_explain_match.out @@ -0,0 +1,55 @@ +File "stdin", line 12, characters 0-61: +Warning: Notation _ - _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ <= _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ < _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ >= _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ > _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ <= _ <= _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ < _ <= _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ <= _ < _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ < _ < _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ + _ was already used in scope nat_scope. +[notation-overridden,parsing] +File "stdin", line 12, characters 0-61: +Warning: Notation _ * _ was already used in scope nat_scope. +[notation-overridden,parsing] +BEGIN INSTANCES +instance: (x + y + z) matches: (x + y + z) +instance: (x + y) matches: (x + y) +instance: (x + y) matches: (x + y) +END INSTANCES +BEGIN INSTANCES +instance: (addnC (x + y) z) matches: (x + y + z) +instance: (addnC x y) matches: (x + y) +instance: (addnC x y) matches: (x + y) +END INSTANCES +BEGIN INSTANCES +instance: (addnA x y z) matches: (x + y + z) +END INSTANCES +BEGIN INSTANCES +instance: (addnA x y z) matches: (x + y + z) +instance: (addnC z (x + y)) matches: (x + y + z) +instance: (addnC y x) matches: (x + y) +instance: (addnC y x) matches: (x + y) +END INSTANCES +The command has indeed failed with message: +Ltac call to "ssrinstancesoftpat (cpattern)" failed. +Not supported diff --git a/test-suite/output/ssr_explain_match.v b/test-suite/output/ssr_explain_match.v new file mode 100644 index 0000000000..56ca24b6e2 --- /dev/null +++ b/test-suite/output/ssr_explain_match.v @@ -0,0 +1,23 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +Require Import ssrmatching. +Require Import ssreflect ssrbool TestSuite.ssr_mini_mathcomp. + +Definition addnAC := (addnA, addnC). + +Lemma test x y z : x + y + z = x + y. + +ssrinstancesoftpat (_ + _). +ssrinstancesofruleL2R addnC. +ssrinstancesofruleR2L addnA. +ssrinstancesofruleR2L addnAC. +Fail ssrinstancesoftpat (_ + _ in RHS). (* Not implemented *) +Admitted. diff --git a/test-suite/prerequisite/ssr_mini_mathcomp.v b/test-suite/prerequisite/ssr_mini_mathcomp.v new file mode 100644 index 0000000000..cb2c56736c --- /dev/null +++ b/test-suite/prerequisite/ssr_mini_mathcomp.v @@ -0,0 +1,1472 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* Some code from mathcomp needed in order to run ssr_* tests *) + +Require Import ssreflect ssrfun ssrbool. + +Global Set SsrOldRewriteGoalsOrder. +Global Set Asymmetric Patterns. +Global Set Bullet Behavior "None". + +Set Implicit Arguments. +Unset Strict Implicit. +Unset Printing Implicit Defensive. + +(* eqtype ---------------------------------------------------------- *) + +Module Equality. + +Definition axiom T (e : rel T) := forall x y, reflect (x = y) (e x y). + +Structure mixin_of T := Mixin {op : rel T; _ : axiom op}. +Notation class_of := mixin_of (only parsing). + +Section ClassDef. + +Structure type := Pack {sort; _ : class_of sort; _ : Type}. +Local Coercion sort : type >-> Sortclass. +Variables (T : Type) (cT : type). + +Definition class := let: Pack _ c _ := cT return class_of cT in c. + +Definition pack c := @Pack T c T. +Definition clone := fun c & cT -> T & phant_id (pack c) cT => pack c. + +End ClassDef. + +Module Exports. +Coercion sort : type >-> Sortclass. +Notation eqType := type. +Notation EqMixin := Mixin. +Notation EqType T m := (@pack T m). +Notation "[ 'eqMixin' 'of' T ]" := (class _ : mixin_of T) + (at level 0, format "[ 'eqMixin' 'of' T ]") : form_scope. +Notation "[ 'eqType' 'of' T 'for' C ]" := (@clone T C _ idfun id) + (at level 0, format "[ 'eqType' 'of' T 'for' C ]") : form_scope. +Notation "[ 'eqType' 'of' T ]" := (@clone T _ _ id id) + (at level 0, format "[ 'eqType' 'of' T ]") : form_scope. +End Exports. + +End Equality. +Export Equality.Exports. + +Definition eq_op T := Equality.op (Equality.class T). + +Lemma eqE T x : eq_op x = Equality.op (Equality.class T) x. +Proof. by []. Qed. + +Lemma eqP T : Equality.axiom (@eq_op T). +Proof. by case: T => ? []. Qed. +Arguments eqP [T x y]. + +Delimit Scope eq_scope with EQ. +Open Scope eq_scope. + +Notation "x == y" := (eq_op x y) + (at level 70, no associativity) : bool_scope. +Notation "x == y :> T" := ((x : T) == (y : T)) + (at level 70, y at next level) : bool_scope. +Notation "x != y" := (~~ (x == y)) + (at level 70, no associativity) : bool_scope. +Notation "x != y :> T" := (~~ (x == y :> T)) + (at level 70, y at next level) : bool_scope. +Notation "x =P y" := (eqP : reflect (x = y) (x == y)) + (at level 70, no associativity) : eq_scope. +Notation "x =P y :> T" := (eqP : reflect (x = y :> T) (x == y :> T)) + (at level 70, y at next level, no associativity) : eq_scope. + +Prenex Implicits eq_op eqP. + +Lemma eq_refl (T : eqType) (x : T) : x == x. Proof. exact/eqP. Qed. +Notation eqxx := eq_refl. + +Lemma eq_sym (T : eqType) (x y : T) : (x == y) = (y == x). +Proof. exact/eqP/eqP. Qed. + +Hint Resolve eq_refl eq_sym. + + +Definition eqb b := addb (~~ b). + +Lemma eqbP : Equality.axiom eqb. +Proof. by do 2!case; constructor. Qed. + +Canonical bool_eqMixin := EqMixin eqbP. +Canonical bool_eqType := Eval hnf in EqType bool bool_eqMixin. + +Section ProdEqType. + +Variable T1 T2 : eqType. + +Definition pair_eq := [rel u v : T1 * T2 | (u.1 == v.1) && (u.2 == v.2)]. + +Lemma pair_eqP : Equality.axiom pair_eq. +Proof. +move=> [x1 x2] [y1 y2] /=; apply: (iffP andP) => [[]|[<- <-]] //=. +by do 2!move/eqP->. +Qed. + +Definition prod_eqMixin := EqMixin pair_eqP. +Canonical prod_eqType := Eval hnf in EqType (T1 * T2) prod_eqMixin. + +End ProdEqType. + +Section OptionEqType. + +Variable T : eqType. + +Definition opt_eq (u v : option T) : bool := + oapp (fun x => oapp (eq_op x) false v) (~~ v) u. + +Lemma opt_eqP : Equality.axiom opt_eq. +Proof. +case=> [x|] [y|] /=; by [constructor | apply: (iffP eqP) => [|[]] ->]. +Qed. + +Canonical option_eqMixin := EqMixin opt_eqP. +Canonical option_eqType := Eval hnf in EqType (option T) option_eqMixin. + +End OptionEqType. + +Notation xpred1 := (fun a1 x => x == a1). +Notation xpredU1 := (fun a1 (p : pred _) x => (x == a1) || p x). + +Section EqPred. + +Variable T : eqType. + +Definition pred1 (a1 : T) := SimplPred (xpred1 a1). +Definition predU1 (a1 : T) p := SimplPred (xpredU1 a1 p). + +End EqPred. + +Section TransferEqType. + +Variables (T : Type) (eT : eqType) (f : T -> eT). + +Lemma inj_eqAxiom : injective f -> Equality.axiom (fun x y => f x == f y). +Proof. by move=> f_inj x y; apply: (iffP eqP) => [|-> //]; apply: f_inj. Qed. + +Definition InjEqMixin f_inj := EqMixin (inj_eqAxiom f_inj). + +Definition PcanEqMixin g (fK : pcancel f g) := InjEqMixin (pcan_inj fK). + +Definition CanEqMixin g (fK : cancel f g) := InjEqMixin (can_inj fK). + +End TransferEqType. + +(* We use the module system to circumvent a silly limitation that *) +(* forbids using the same constant to coerce to different targets. *) +Module Type EqTypePredSig. +Parameter sort : eqType -> predArgType. +End EqTypePredSig. +Module MakeEqTypePred (eqmod : EqTypePredSig). +Coercion eqmod.sort : eqType >-> predArgType. +End MakeEqTypePred. +Module Export EqTypePred := MakeEqTypePred Equality. + + +Section SubType. + +Variables (T : Type) (P : pred T). + +Structure subType : Type := SubType { + sub_sort :> Type; + val : sub_sort -> T; + Sub : forall x, P x -> sub_sort; + _ : forall K (_ : forall x Px, K (@Sub x Px)) u, K u; + _ : forall x Px, val (@Sub x Px) = x +}. + +Arguments Sub [s]. +Lemma vrefl : forall x, P x -> x = x. Proof. by []. Qed. +Definition vrefl_rect := vrefl. + +Definition clone_subType U v := + fun sT & sub_sort sT -> U => + fun c Urec cK (sT' := @SubType U v c Urec cK) & phant_id sT' sT => sT'. + +Variable sT : subType. + +CoInductive Sub_spec : sT -> Type := SubSpec x Px : Sub_spec (Sub x Px). + +Lemma SubP u : Sub_spec u. +Proof. by case: sT Sub_spec SubSpec u => T' _ C rec /= _. Qed. + +Lemma SubK x Px : @val sT (Sub x Px) = x. +Proof. by case: sT. Qed. + +Definition insub x := + if @idP (P x) is ReflectT Px then @Some sT (Sub x Px) else None. + +Definition insubd u0 x := odflt u0 (insub x). + +CoInductive insub_spec x : option sT -> Type := + | InsubSome u of P x & val u = x : insub_spec x (Some u) + | InsubNone of ~~ P x : insub_spec x None. + +Lemma insubP x : insub_spec x (insub x). +Proof. +by rewrite /insub; case: {-}_ / idP; [left; rewrite ?SubK | right; apply/negP]. +Qed. + +Lemma insubT x Px : insub x = Some (Sub x Px). +Admitted. + +Lemma insubF x : P x = false -> insub x = None. +Proof. by move/idP; case: insubP. Qed. + +Lemma insubN x : ~~ P x -> insub x = None. +Proof. by move/negPf/insubF. Qed. + +Lemma isSome_insub : ([eta insub] : pred T) =1 P. +Proof. by apply: fsym => x; case: insubP => // /negPf. Qed. + +Lemma insubK : ocancel insub (@val _). +Proof. by move=> x; case: insubP. Qed. + +Lemma valP (u : sT) : P (val u). +Proof. by case/SubP: u => x Px; rewrite SubK. Qed. + +Lemma valK : pcancel (@val _) insub. +Proof. by case/SubP=> x Px; rewrite SubK; apply: insubT. Qed. + +Lemma val_inj : injective (@val sT). +Proof. exact: pcan_inj valK. Qed. + +Lemma valKd u0 : cancel (@val _) (insubd u0). +Proof. by move=> u; rewrite /insubd valK. Qed. + +Lemma val_insubd u0 x : val (insubd u0 x) = if P x then x else val u0. +Proof. by rewrite /insubd; case: insubP => [u -> | /negPf->]. Qed. + +Lemma insubdK u0 : {in P, cancel (insubd u0) (@val _)}. +Proof. by move=> x Px; rewrite /= val_insubd [P x]Px. Qed. + +Definition insub_eq x := + let Some_sub Px := Some (Sub x Px : sT) in + let None_sub _ := None in + (if P x as Px return P x = Px -> _ then Some_sub else None_sub) (erefl _). + +Lemma insub_eqE : insub_eq =1 insub. +Proof. +rewrite /insub_eq /insub => x; case: {2 3}_ / idP (erefl _) => // Px Px'. +by congr (Some _); apply: val_inj; rewrite !SubK. +Qed. + +End SubType. + +Arguments SubType [T P]. +Arguments Sub [T P s]. +Arguments vrefl [T P]. +Arguments vrefl_rect [T P]. +Arguments clone_subType [T P] U v [sT] _ [c Urec cK]. +Arguments insub [T P sT]. +Arguments insubT [T] P [sT x]. +Arguments val_inj [T P sT]. +Prenex Implicits val Sub vrefl vrefl_rect insub insubd val_inj. + +Local Notation inlined_sub_rect := + (fun K K_S u => let (x, Px) as u return K u := u in K_S x Px). + +Local Notation inlined_new_rect := + (fun K K_S u => let (x) as u return K u := u in K_S x). + +Notation "[ 'subType' 'for' v ]" := (SubType _ v _ inlined_sub_rect vrefl_rect) + (at level 0, only parsing) : form_scope. + +Notation "[ 'sub' 'Type' 'for' v ]" := (SubType _ v _ _ vrefl_rect) + (at level 0, format "[ 'sub' 'Type' 'for' v ]") : form_scope. + +Notation "[ 'subType' 'for' v 'by' rec ]" := (SubType _ v _ rec vrefl) + (at level 0, format "[ 'subType' 'for' v 'by' rec ]") : form_scope. + +Notation "[ 'subType' 'of' U 'for' v ]" := (clone_subType U v id idfun) + (at level 0, format "[ 'subType' 'of' U 'for' v ]") : form_scope. + +(* +Notation "[ 'subType' 'for' v ]" := (clone_subType _ v id idfun) + (at level 0, format "[ 'subType' 'for' v ]") : form_scope. +*) +Notation "[ 'subType' 'of' U ]" := (clone_subType U _ id id) + (at level 0, format "[ 'subType' 'of' U ]") : form_scope. + +Definition NewType T U v c Urec := + let Urec' P IH := Urec P (fun x : T => IH x isT : P _) in + SubType U v (fun x _ => c x) Urec'. +Arguments NewType [T U]. + +Notation "[ 'newType' 'for' v ]" := (NewType v _ inlined_new_rect vrefl_rect) + (at level 0, only parsing) : form_scope. + +Notation "[ 'new' 'Type' 'for' v ]" := (NewType v _ _ vrefl_rect) + (at level 0, format "[ 'new' 'Type' 'for' v ]") : form_scope. + +Notation "[ 'newType' 'for' v 'by' rec ]" := (NewType v _ rec vrefl) + (at level 0, format "[ 'newType' 'for' v 'by' rec ]") : form_scope. + +Definition innew T nT x := @Sub T predT nT x (erefl true). +Arguments innew [T nT]. +Prenex Implicits innew. + +Lemma innew_val T nT : cancel val (@innew T nT). +Proof. by move=> u; apply: val_inj; apply: SubK. Qed. + +(* Prenex Implicits and renaming. *) +Notation sval := (@proj1_sig _ _). +Notation "@ 'sval'" := (@proj1_sig) (at level 10, format "@ 'sval'"). + +Section SubEqType. + +Variables (T : eqType) (P : pred T) (sT : subType P). + +Local Notation ev_ax := (fun T v => @Equality.axiom T (fun x y => v x == v y)). +Lemma val_eqP : ev_ax sT val. Proof. exact: inj_eqAxiom val_inj. Qed. + +Definition sub_eqMixin := EqMixin val_eqP. +Canonical sub_eqType := Eval hnf in EqType sT sub_eqMixin. + +Definition SubEqMixin := + (let: SubType _ v _ _ _ as sT' := sT + return ev_ax sT' val -> Equality.class_of sT' in + fun vP : ev_ax _ v => EqMixin vP + ) val_eqP. + +Lemma val_eqE (u v : sT) : (val u == val v) = (u == v). +Proof. by []. Qed. + +End SubEqType. + +Arguments val_eqP [T P sT x y]. +Prenex Implicits val_eqP. + +Notation "[ 'eqMixin' 'of' T 'by' <: ]" := (SubEqMixin _ : Equality.class_of T) + (at level 0, format "[ 'eqMixin' 'of' T 'by' <: ]") : form_scope. + +(* ssrnat ---------------------------------------------------------- *) + +Notation succn := Datatypes.S. +Notation predn := Peano.pred. + +Notation "n .+1" := (succn n) (at level 2, left associativity, + format "n .+1") : nat_scope. +Notation "n .+2" := n.+1.+1 (at level 2, left associativity, + format "n .+2") : nat_scope. +Notation "n .+3" := n.+2.+1 (at level 2, left associativity, + format "n .+3") : nat_scope. +Notation "n .+4" := n.+2.+2 (at level 2, left associativity, + format "n .+4") : nat_scope. + +Notation "n .-1" := (predn n) (at level 2, left associativity, + format "n .-1") : nat_scope. +Notation "n .-2" := n.-1.-1 (at level 2, left associativity, + format "n .-2") : nat_scope. + +Fixpoint eqn m n {struct m} := + match m, n with + | 0, 0 => true + | m'.+1, n'.+1 => eqn m' n' + | _, _ => false + end. + +Lemma eqnP : Equality.axiom eqn. +Proof. +move=> n m; apply: (iffP idP) => [|<-]; last by elim n. +by elim: n m => [|n IHn] [|m] //= /IHn->. +Qed. + +Canonical nat_eqMixin := EqMixin eqnP. +Canonical nat_eqType := Eval hnf in EqType nat nat_eqMixin. + +Arguments eqnP [x y]. +Prenex Implicits eqnP. + +Coercion nat_of_bool (b : bool) := if b then 1 else 0. + +Fixpoint odd n := if n is n'.+1 then ~~ odd n' else false. + +Lemma oddb (b : bool) : odd b = b. Proof. by case: b. Qed. + +Definition subn_rec := minus. +Notation "m - n" := (subn_rec m n) : nat_rec_scope. + +Definition subn := nosimpl subn_rec. +Notation "m - n" := (subn m n) : nat_scope. + +Definition leq m n := m - n == 0. + +Notation "m <= n" := (leq m n) : nat_scope. +Notation "m < n" := (m.+1 <= n) : nat_scope. +Notation "m >= n" := (n <= m) (only parsing) : nat_scope. +Notation "m > n" := (n < m) (only parsing) : nat_scope. + + +Notation "m <= n <= p" := ((m <= n) && (n <= p)) : nat_scope. +Notation "m < n <= p" := ((m < n) && (n <= p)) : nat_scope. +Notation "m <= n < p" := ((m <= n) && (n < p)) : nat_scope. +Notation "m < n < p" := ((m < n) && (n < p)) : nat_scope. + +Open Scope nat_scope. + + +Lemma ltnS m n : (m < n.+1) = (m <= n). Proof. by []. Qed. +Lemma leq0n n : 0 <= n. Proof. by []. Qed. +Lemma ltn0Sn n : 0 < n.+1. Proof. by []. Qed. +Lemma ltn0 n : n < 0 = false. Proof. by []. Qed. +Lemma leqnn n : n <= n. Proof. by elim: n. Qed. +Hint Resolve leqnn. +Lemma leqnSn n : n <= n.+1. Proof. by elim: n. Qed. + +Lemma leq_trans n m p : m <= n -> n <= p -> m <= p. +Admitted. +Lemma leqW m n : m <= n -> m <= n.+1. +Admitted. +Hint Resolve leqnSn. +Lemma ltnW m n : m < n -> m <= n. +Proof. exact: leq_trans. Qed. +Hint Resolve ltnW. + +Definition addn_rec := plus. +Notation "m + n" := (addn_rec m n) : nat_rec_scope. + +Definition addn := nosimpl addn_rec. +Notation "m + n" := (addn m n) : nat_scope. + +Lemma addn0 : right_id 0 addn. Proof. by move=> n; apply/eqP; elim: n. Qed. +Lemma add0n : left_id 0 addn. Proof. by []. Qed. +Lemma addSn m n : m.+1 + n = (m + n).+1. Proof. by []. Qed. +Lemma addnS m n : m + n.+1 = (m + n).+1. Proof. by elim: m. Qed. + +Lemma addnCA : left_commutative addn. +Proof. by move=> m n p; elim: m => //= m; rewrite addnS => <-. Qed. + +Lemma addnC : commutative addn. +Proof. by move=> m n; rewrite -{1}[n]addn0 addnCA addn0. Qed. + +Lemma addnA : associative addn. +Proof. by move=> m n p; rewrite (addnC n) addnCA addnC. Qed. + +Lemma subnK m n : m <= n -> (n - m) + m = n. +Admitted. + + +Definition muln_rec := mult. +Notation "m * n" := (muln_rec m n) : nat_rec_scope. + +Definition muln := nosimpl muln_rec. +Notation "m * n" := (muln m n) : nat_scope. + +Lemma mul0n : left_zero 0 muln. Proof. by []. Qed. +Lemma muln0 : right_zero 0 muln. Proof. by elim. Qed. +Lemma mul1n : left_id 1 muln. Proof. exact: addn0. Qed. + +Lemma mulSn m n : m.+1 * n = n + m * n. Proof. by []. Qed. +Lemma mulSnr m n : m.+1 * n = m * n + n. Proof. exact: addnC. Qed. + +Lemma mulnS m n : m * n.+1 = m + m * n. +Proof. by elim: m => // m; rewrite !mulSn !addSn addnCA => ->. Qed. + +Lemma mulnSr m n : m * n.+1 = m * n + m. +Proof. by rewrite addnC mulnS. Qed. + +Lemma muln1 : right_id 1 muln. +Proof. by move=> n; rewrite mulnSr muln0. Qed. + +Lemma mulnC : commutative muln. +Proof. +by move=> m n; elim: m => [|m]; rewrite (muln0, mulnS) // mulSn => ->. +Qed. + +Lemma mulnDl : left_distributive muln addn. +Proof. by move=> m1 m2 n; elim: m1 => //= m1 IHm; rewrite -addnA -IHm. Qed. + +Lemma mulnDr : right_distributive muln addn. +Proof. by move=> m n1 n2; rewrite !(mulnC m) mulnDl. Qed. + +Lemma mulnA : associative muln. +Proof. by move=> m n p; elim: m => //= m; rewrite mulSn mulnDl => ->. Qed. + +Lemma mulnCA : left_commutative muln. +Proof. by move=> m n1 n2; rewrite !mulnA (mulnC m). Qed. + +Lemma mulnAC : right_commutative muln. +Proof. by move=> m n p; rewrite -!mulnA (mulnC n). Qed. + +Lemma mulnACA : interchange muln muln. +Proof. by move=> m n p q; rewrite -!mulnA (mulnCA n). Qed. + +(* seq ------------------------------------------------------------- *) + +Delimit Scope seq_scope with SEQ. +Open Scope seq_scope. + +(* Inductive seq (T : Type) : Type := Nil | Cons of T & seq T. *) +Notation seq := list. +Prenex Implicits cons. +Notation Cons T := (@cons T) (only parsing). +Notation Nil T := (@nil T) (only parsing). + +Bind Scope seq_scope with list. +Arguments cons _%type _ _%SEQ. + +(* As :: and ++ are (improperly) declared in Init.datatypes, we only rebind *) +(* them here. *) +Infix "::" := cons : seq_scope. + +(* GG - this triggers a camlp4 warning, as if this Notation had been Reserved *) +Notation "[ :: ]" := nil (at level 0, format "[ :: ]") : seq_scope. + +Notation "[ :: x1 ]" := (x1 :: [::]) + (at level 0, format "[ :: x1 ]") : seq_scope. + +Notation "[ :: x & s ]" := (x :: s) (at level 0, only parsing) : seq_scope. + +Notation "[ :: x1 , x2 , .. , xn & s ]" := (x1 :: x2 :: .. (xn :: s) ..) + (at level 0, format + "'[hv' [ :: '[' x1 , '/' x2 , '/' .. , '/' xn ']' '/ ' & s ] ']'" + ) : seq_scope. + +Notation "[ :: x1 ; x2 ; .. ; xn ]" := (x1 :: x2 :: .. [:: xn] ..) + (at level 0, format "[ :: '[' x1 ; '/' x2 ; '/' .. ; '/' xn ']' ]" + ) : seq_scope. + +Section Sequences. + +Variable n0 : nat. (* numerical parameter for take, drop et al *) +Variable T : Type. (* must come before the implicit Type *) +Variable x0 : T. (* default for head/nth *) + +Implicit Types x y z : T. +Implicit Types m n : nat. +Implicit Type s : seq T. + +Fixpoint size s := if s is _ :: s' then (size s').+1 else 0. + +Fixpoint cat s1 s2 := if s1 is x :: s1' then x :: s1' ++ s2 else s2 +where "s1 ++ s2" := (cat s1 s2) : seq_scope. + +Lemma cat0s s : [::] ++ s = s. Proof. by []. Qed. + +Lemma cats0 s : s ++ [::] = s. +Proof. by elim: s => //= x s ->. Qed. + +Lemma catA s1 s2 s3 : s1 ++ s2 ++ s3 = (s1 ++ s2) ++ s3. +Proof. by elim: s1 => //= x s1 ->. Qed. + +Fixpoint nth s n {struct n} := + if s is x :: s' then if n is n'.+1 then @nth s' n' else x else x0. + +Fixpoint rcons s z := if s is x :: s' then x :: rcons s' z else [:: z]. + +CoInductive last_spec : seq T -> Type := + | LastNil : last_spec [::] + | LastRcons s x : last_spec (rcons s x). + +Lemma lastP s : last_spec s. +Proof using. Admitted. + +Lemma last_ind P : + P [::] -> (forall s x, P s -> P (rcons s x)) -> forall s, P s. +Proof using. Admitted. + + +Section Map. + +Variables (T2 : Type) (f : T -> T2). + +Fixpoint map s := if s is x :: s' then f x :: map s' else [::]. + +End Map. + +Section SeqFind. + +Variable a : pred T. + +Fixpoint count s := if s is x :: s' then a x + count s' else 0. + +Fixpoint filter s := + if s is x :: s' then if a x then x :: filter s' else filter s' else [::]. + +End SeqFind. + +End Sequences. + +Infix "++" := cat : seq_scope. + +Notation count_mem x := (count (pred_of_simpl (pred1 x))). + +Section EqSeq. + +Variables (n0 : nat) (T : eqType) (x0 : T). +Local Notation nth := (nth x0). +Implicit Type s : seq T. +Implicit Types x y z : T. + +Fixpoint eqseq s1 s2 {struct s2} := + match s1, s2 with + | [::], [::] => true + | x1 :: s1', x2 :: s2' => (x1 == x2) && eqseq s1' s2' + | _, _ => false + end. + +Lemma eqseqP : Equality.axiom eqseq. +Proof. +move; elim=> [|x1 s1 IHs] [|x2 s2]; do [by constructor | simpl]. +case: (x1 =P x2) => [<-|neqx]; last by right; case. +by apply: (iffP (IHs s2)) => [<-|[]]. +Qed. + +Canonical seq_eqMixin := EqMixin eqseqP. +Canonical seq_eqType := Eval hnf in EqType (seq T) seq_eqMixin. + +Fixpoint mem_seq (s : seq T) := + if s is y :: s' then xpredU1 y (mem_seq s') else xpred0. + +Definition eqseq_class := seq T. +Identity Coercion seq_of_eqseq : eqseq_class >-> seq. +Coercion pred_of_eq_seq (s : eqseq_class) : pred_class := [eta mem_seq s]. + +Canonical seq_predType := @mkPredType T (seq T) pred_of_eq_seq. + +Fixpoint uniq s := if s is x :: s' then (x \notin s') && uniq s' else true. + +End EqSeq. + +Definition bitseq := seq bool. +Canonical bitseq_eqType := Eval hnf in [eqType of bitseq]. +Canonical bitseq_predType := Eval hnf in [predType of bitseq]. + +Section Pmap. + +Variables (aT rT : Type) (f : aT -> option rT) (g : rT -> aT). + +Fixpoint pmap s := + if s is x :: s' then let r := pmap s' in oapp (cons^~ r) r (f x) else [::]. + +End Pmap. + +Fixpoint iota m n := if n is n'.+1 then m :: iota m.+1 n' else [::]. + +Section FoldRight. + +Variables (T : Type) (R : Type) (f : T -> R -> R) (z0 : R). + +Fixpoint foldr s := if s is x :: s' then f x (foldr s') else z0. + +End FoldRight. + +Lemma mem_iota m n i : (i \in iota m n) = (m <= i) && (i < m + n). +Admitted. + + +(* choice ------------------------------------------------------------- *) + +Module Choice. + +Section ClassDef. + +Record mixin_of T := Mixin { + find : pred T -> nat -> option T; + _ : forall P n x, find P n = Some x -> P x; + _ : forall P : pred T, (exists x, P x) -> exists n, find P n; + _ : forall P Q : pred T, P =1 Q -> find P =1 find Q +}. + +Record class_of T := Class {base : Equality.class_of T; mixin : mixin_of T}. +Local Coercion base : class_of >-> Equality.class_of. + +Structure type := Pack {sort; _ : class_of sort; _ : Type}. +Local Coercion sort : type >-> Sortclass. +Variables (T : Type) (cT : type). +Definition class := let: Pack _ c _ as cT' := cT return class_of cT' in c. +Definition clone c of phant_id class c := @Pack T c T. +Let xT := let: Pack T _ _ := cT in T. +Notation xclass := (class : class_of xT). + +Definition pack m := + fun b bT & phant_id (Equality.class bT) b => Pack (@Class T b m) T. + +(* Inheritance *) +Definition eqType := @Equality.Pack cT xclass xT. + +End ClassDef. + +Module Import Exports. +Coercion base : class_of >-> Equality.class_of. +Coercion sort : type >-> Sortclass. +Coercion eqType : type >-> Equality.type. +Canonical eqType. +Notation choiceType := type. +Notation choiceMixin := mixin_of. +Notation ChoiceType T m := (@pack T m _ _ id). +Notation "[ 'choiceType' 'of' T 'for' cT ]" := (@clone T cT _ idfun) + (at level 0, format "[ 'choiceType' 'of' T 'for' cT ]") : form_scope. +Notation "[ 'choiceType' 'of' T ]" := (@clone T _ _ id) + (at level 0, format "[ 'choiceType' 'of' T ]") : form_scope. + +End Exports. + +End Choice. +Export Choice.Exports. + +Section ChoiceTheory. + +Variable T : choiceType. + +Section CanChoice. + +Variables (sT : Type) (f : sT -> T). + +Lemma PcanChoiceMixin f' : pcancel f f' -> choiceMixin sT. +Admitted. + +Definition CanChoiceMixin f' (fK : cancel f f') := + PcanChoiceMixin (can_pcan fK). + +End CanChoice. + +Section SubChoice. + +Variables (P : pred T) (sT : subType P). + +Definition sub_choiceMixin := PcanChoiceMixin (@valK T P sT). +Definition sub_choiceClass := @Choice.Class sT (sub_eqMixin sT) sub_choiceMixin. +Canonical sub_choiceType := Choice.Pack sub_choiceClass sT. + +End SubChoice. + + +Fact seq_choiceMixin : choiceMixin (seq T). +Admitted. +Canonical seq_choiceType := Eval hnf in ChoiceType (seq T) seq_choiceMixin. +End ChoiceTheory. + +Fact nat_choiceMixin : choiceMixin nat. +Proof. +pose f := [fun (P : pred nat) n => if P n then Some n else None]. +exists f => [P n m | P [n Pn] | P Q eqPQ n] /=; last by rewrite eqPQ. + by case: ifP => // Pn [<-]. +by exists n; rewrite Pn. +Qed. +Canonical nat_choiceType := Eval hnf in ChoiceType nat nat_choiceMixin. + +Definition bool_choiceMixin := CanChoiceMixin oddb. +Canonical bool_choiceType := Eval hnf in ChoiceType bool bool_choiceMixin. +Canonical bitseq_choiceType := Eval hnf in [choiceType of bitseq]. + + +Notation "[ 'choiceMixin' 'of' T 'by' <: ]" := + (sub_choiceMixin _ : choiceMixin T) + (at level 0, format "[ 'choiceMixin' 'of' T 'by' <: ]") : form_scope. + + + + +Module Countable. + +Record mixin_of (T : Type) : Type := Mixin { + pickle : T -> nat; + unpickle : nat -> option T; + pickleK : pcancel pickle unpickle +}. + +Definition EqMixin T m := PcanEqMixin (@pickleK T m). +Definition ChoiceMixin T m := PcanChoiceMixin (@pickleK T m). + +Section ClassDef. + +Record class_of T := Class { base : Choice.class_of T; mixin : mixin_of T }. +Local Coercion base : class_of >-> Choice.class_of. + +Structure type : Type := Pack {sort : Type; _ : class_of sort; _ : Type}. +Local Coercion sort : type >-> Sortclass. +Variables (T : Type) (cT : type). +Definition class := let: Pack _ c _ as cT' := cT return class_of cT' in c. +Definition clone c of phant_id class c := @Pack T c T. +Let xT := let: Pack T _ _ := cT in T. +Notation xclass := (class : class_of xT). + +Definition pack m := + fun bT b & phant_id (Choice.class bT) b => Pack (@Class T b m) T. + +Definition eqType := @Equality.Pack cT xclass xT. +Definition choiceType := @Choice.Pack cT xclass xT. + +End ClassDef. + +Module Exports. +Coercion base : class_of >-> Choice.class_of. +Coercion mixin : class_of >-> mixin_of. +Coercion sort : type >-> Sortclass. +Coercion eqType : type >-> Equality.type. +Canonical eqType. +Coercion choiceType : type >-> Choice.type. +Canonical choiceType. +Notation countType := type. +Notation CountType T m := (@pack T m _ _ id). +Notation CountMixin := Mixin. +Notation CountChoiceMixin := ChoiceMixin. +Notation "[ 'countType' 'of' T 'for' cT ]" := (@clone T cT _ idfun) + (at level 0, format "[ 'countType' 'of' T 'for' cT ]") : form_scope. +Notation "[ 'countType' 'of' T ]" := (@clone T _ _ id) + (at level 0, format "[ 'countType' 'of' T ]") : form_scope. + +End Exports. + +End Countable. +Export Countable.Exports. + +Definition unpickle T := Countable.unpickle (Countable.class T). +Definition pickle T := Countable.pickle (Countable.class T). +Arguments unpickle [T]. +Prenex Implicits pickle unpickle. + +Section CountableTheory. + +Variable T : countType. + +Lemma pickleK : @pcancel nat T pickle unpickle. +Proof. exact: Countable.pickleK. Qed. + +Definition pickle_inv n := + obind (fun x : T => if pickle x == n then Some x else None) (unpickle n). + +Lemma pickle_invK : ocancel pickle_inv pickle. +Proof. +by rewrite /pickle_inv => n; case def_x: (unpickle n) => //= [x]; case: eqP. +Qed. + +Lemma pickleK_inv : pcancel pickle pickle_inv. +Proof. by rewrite /pickle_inv => x; rewrite pickleK /= eqxx. Qed. + +Lemma pcan_pickleK sT f f' : + @pcancel T sT f f' -> pcancel (pickle \o f) (pcomp f' unpickle). +Proof. by move=> fK x; rewrite /pcomp pickleK /= fK. Qed. + +Definition PcanCountMixin sT f f' (fK : pcancel f f') := + @CountMixin sT _ _ (pcan_pickleK fK). + +Definition CanCountMixin sT f f' (fK : cancel f f') := + @PcanCountMixin sT _ _ (can_pcan fK). + +Definition sub_countMixin P sT := PcanCountMixin (@valK T P sT). + +End CountableTheory. +Notation "[ 'countMixin' 'of' T 'by' <: ]" := + (sub_countMixin _ : Countable.mixin_of T) + (at level 0, format "[ 'countMixin' 'of' T 'by' <: ]") : form_scope. + +Section SubCountType. + +Variables (T : choiceType) (P : pred T). +Import Countable. + +Structure subCountType : Type := + SubCountType {subCount_sort :> subType P; _ : mixin_of subCount_sort}. + +Coercion sub_countType (sT : subCountType) := + Eval hnf in pack (let: SubCountType _ m := sT return mixin_of sT in m) id. +Canonical sub_countType. + +Definition pack_subCountType U := + fun sT cT & sub_sort sT * sort cT -> U * U => + fun b m & phant_id (Class b m) (class cT) => @SubCountType sT m. + +End SubCountType. + +(* This assumes that T has both countType and subType structures. *) +Notation "[ 'subCountType' 'of' T ]" := + (@pack_subCountType _ _ T _ _ id _ _ id) + (at level 0, format "[ 'subCountType' 'of' T ]") : form_scope. + +Lemma nat_pickleK : pcancel id (@Some nat). Proof. by []. Qed. +Definition nat_countMixin := CountMixin nat_pickleK. +Canonical nat_countType := Eval hnf in CountType nat nat_countMixin. + +(* fintype --------------------------------------------------------- *) + +Module Finite. + +Section RawMixin. + +Variable T : eqType. + +Definition axiom e := forall x : T, count_mem x e = 1. + +Lemma uniq_enumP e : uniq e -> e =i T -> axiom e. +Admitted. + +Record mixin_of := Mixin { + mixin_base : Countable.mixin_of T; + mixin_enum : seq T; + _ : axiom mixin_enum +}. + +End RawMixin. + +Section Mixins. + +Variable T : countType. + +Definition EnumMixin := + let: Countable.Pack _ (Countable.Class _ m) _ as cT := T + return forall e : seq cT, axiom e -> mixin_of cT in + @Mixin (EqType _ _) m. + +Definition UniqMixin e Ue eT := @EnumMixin e (uniq_enumP Ue eT). + +Variable n : nat. + +End Mixins. + +Section ClassDef. + +Record class_of T := Class { + base : Choice.class_of T; + mixin : mixin_of (Equality.Pack base T) +}. +Definition base2 T c := Countable.Class (@base T c) (mixin_base (mixin c)). +Local Coercion base : class_of >-> Choice.class_of. + +Structure type : Type := Pack {sort; _ : class_of sort; _ : Type}. +Local Coercion sort : type >-> Sortclass. +Variables (T : Type) (cT : type). +Definition class := let: Pack _ c _ as cT' := cT return class_of cT' in c. +Definition clone c of phant_id class c := @Pack T c T. +Let xT := let: Pack T _ _ := cT in T. +Notation xclass := (class : class_of xT). + +Definition pack b0 (m0 : mixin_of (EqType T b0)) := + fun bT b & phant_id (Choice.class bT) b => + fun m & phant_id m0 m => Pack (@Class T b m) T. + +Definition eqType := @Equality.Pack cT xclass xT. +Definition choiceType := @Choice.Pack cT xclass xT. +Definition countType := @Countable.Pack cT (base2 xclass) xT. + +End ClassDef. + +Module Import Exports. +Coercion mixin_base : mixin_of >-> Countable.mixin_of. +Coercion base : class_of >-> Choice.class_of. +Coercion mixin : class_of >-> mixin_of. +Coercion base2 : class_of >-> Countable.class_of. +Coercion sort : type >-> Sortclass. +Coercion eqType : type >-> Equality.type. +Canonical eqType. +Coercion choiceType : type >-> Choice.type. +Canonical choiceType. +Coercion countType : type >-> Countable.type. +Canonical countType. +Notation finType := type. +Notation FinType T m := (@pack T _ m _ _ id _ id). +Notation FinMixin := EnumMixin. +Notation UniqFinMixin := UniqMixin. +Notation "[ 'finType' 'of' T 'for' cT ]" := (@clone T cT _ idfun) + (at level 0, format "[ 'finType' 'of' T 'for' cT ]") : form_scope. +Notation "[ 'finType' 'of' T ]" := (@clone T _ _ id) + (at level 0, format "[ 'finType' 'of' T ]") : form_scope. +End Exports. + +Module Type EnumSig. +Parameter enum : forall cT : type, seq cT. +Axiom enumDef : enum = fun cT => mixin_enum (class cT). +End EnumSig. + +Module EnumDef : EnumSig. +Definition enum cT := mixin_enum (class cT). +Definition enumDef := erefl enum. +End EnumDef. + +Notation enum := EnumDef.enum. + +End Finite. +Export Finite.Exports. + +Section SubFinType. + +Variables (T : choiceType) (P : pred T). +Import Finite. + +Structure subFinType := SubFinType { + subFin_sort :> subType P; + _ : mixin_of (sub_eqType subFin_sort) +}. + +Definition pack_subFinType U := + fun cT b m & phant_id (class cT) (@Class U b m) => + fun sT m' & phant_id m' m => @SubFinType sT m'. + +Implicit Type sT : subFinType. + +Definition subFin_mixin sT := + let: SubFinType _ m := sT return mixin_of (sub_eqType sT) in m. + +Coercion subFinType_subCountType sT := @SubCountType _ _ sT (subFin_mixin sT). +Canonical subFinType_subCountType. + +Coercion subFinType_finType sT := + Pack (@Class sT (sub_choiceClass sT) (subFin_mixin sT)) sT. +Canonical subFinType_finType. + +Definition enum_mem T (mA : mem_pred _) := filter mA (Finite.enum T). +Definition image_mem T T' f mA : seq T' := map f (@enum_mem T mA). +Definition codom T T' f := @image_mem T T' f (mem T). + +Lemma codom_val sT x : (x \in codom (val : sT -> T)) = P x. +Admitted. + +End SubFinType. + + +(* This assumes that T has both finType and subCountType structures. *) +Notation "[ 'subFinType' 'of' T ]" := (@pack_subFinType _ _ T _ _ _ id _ _ id) + (at level 0, format "[ 'subFinType' 'of' T ]") : form_scope. + + + +Section OrdinalSub. + +Variable n : nat. + +Inductive ordinal : predArgType := Ordinal m of m < n. + +Coercion nat_of_ord i := let: Ordinal m _ := i in m. + +Canonical ordinal_subType := [subType for nat_of_ord]. +Definition ordinal_eqMixin := Eval hnf in [eqMixin of ordinal by <:]. +Canonical ordinal_eqType := Eval hnf in EqType ordinal ordinal_eqMixin. +Definition ordinal_choiceMixin := [choiceMixin of ordinal by <:]. +Canonical ordinal_choiceType := + Eval hnf in ChoiceType ordinal ordinal_choiceMixin. +Definition ordinal_countMixin := [countMixin of ordinal by <:]. +Canonical ordinal_countType := Eval hnf in CountType ordinal ordinal_countMixin. +Canonical ordinal_subCountType := [subCountType of ordinal]. + +Lemma ltn_ord (i : ordinal) : i < n. Proof. exact: valP i. Qed. + +Lemma ord_inj : injective nat_of_ord. Proof. exact: val_inj. Qed. + +Definition ord_enum : seq ordinal := pmap insub (iota 0 n). + +Lemma val_ord_enum : map val ord_enum = iota 0 n. +Admitted. + +Lemma ord_enum_uniq : uniq ord_enum. +Admitted. + +Lemma mem_ord_enum i : i \in ord_enum. +Admitted. + +Definition ordinal_finMixin := + Eval hnf in UniqFinMixin ord_enum_uniq mem_ord_enum. +Canonical ordinal_finType := Eval hnf in FinType ordinal ordinal_finMixin. +Canonical ordinal_subFinType := Eval hnf in [subFinType of ordinal]. + +End OrdinalSub. + +Notation "''I_' n" := (ordinal n) + (at level 8, n at level 2, format "''I_' n"). + +(* bigop ----------------------------------------------------------------- *) + +Reserved Notation "\big [ op / idx ]_ i F" + (at level 36, F at level 36, op, idx at level 10, i at level 0, + right associativity, + format "'[' \big [ op / idx ]_ i '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i <- r | P ) F" + (at level 36, F at level 36, op, idx at level 10, i, r at level 50, + format "'[' \big [ op / idx ]_ ( i <- r | P ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i <- r ) F" + (at level 36, F at level 36, op, idx at level 10, i, r at level 50, + format "'[' \big [ op / idx ]_ ( i <- r ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( m <= i < n | P ) F" + (at level 36, F at level 36, op, idx at level 10, m, i, n at level 50, + format "'[' \big [ op / idx ]_ ( m <= i < n | P ) F ']'"). +Reserved Notation "\big [ op / idx ]_ ( m <= i < n ) F" + (at level 36, F at level 36, op, idx at level 10, i, m, n at level 50, + format "'[' \big [ op / idx ]_ ( m <= i < n ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i | P ) F" + (at level 36, F at level 36, op, idx at level 10, i at level 50, + format "'[' \big [ op / idx ]_ ( i | P ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i : t | P ) F" + (at level 36, F at level 36, op, idx at level 10, i at level 50, + format "'[' \big [ op / idx ]_ ( i : t | P ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i : t ) F" + (at level 36, F at level 36, op, idx at level 10, i at level 50, + format "'[' \big [ op / idx ]_ ( i : t ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i < n | P ) F" + (at level 36, F at level 36, op, idx at level 10, i, n at level 50, + format "'[' \big [ op / idx ]_ ( i < n | P ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i < n ) F" + (at level 36, F at level 36, op, idx at level 10, i, n at level 50, + format "'[' \big [ op / idx ]_ ( i < n ) F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i 'in' A | P ) F" + (at level 36, F at level 36, op, idx at level 10, i, A at level 50, + format "'[' \big [ op / idx ]_ ( i 'in' A | P ) '/ ' F ']'"). +Reserved Notation "\big [ op / idx ]_ ( i 'in' A ) F" + (at level 36, F at level 36, op, idx at level 10, i, A at level 50, + format "'[' \big [ op / idx ]_ ( i 'in' A ) '/ ' F ']'"). + +Module Monoid. + +Section Definitions. +Variables (T : Type) (idm : T). + +Structure law := Law { + operator : T -> T -> T; + _ : associative operator; + _ : left_id idm operator; + _ : right_id idm operator +}. +Local Coercion operator : law >-> Funclass. + +Structure com_law := ComLaw { + com_operator : law; + _ : commutative com_operator +}. +Local Coercion com_operator : com_law >-> law. + +Structure mul_law := MulLaw { + mul_operator : T -> T -> T; + _ : left_zero idm mul_operator; + _ : right_zero idm mul_operator +}. +Local Coercion mul_operator : mul_law >-> Funclass. + +Structure add_law (mul : T -> T -> T) := AddLaw { + add_operator : com_law; + _ : left_distributive mul add_operator; + _ : right_distributive mul add_operator +}. +Local Coercion add_operator : add_law >-> com_law. + +Let op_id (op1 op2 : T -> T -> T) := phant_id op1 op2. + +Definition clone_law op := + fun (opL : law) & op_id opL op => + fun opmA op1m opm1 (opL' := @Law op opmA op1m opm1) + & phant_id opL' opL => opL'. + +Definition clone_com_law op := + fun (opL : law) (opC : com_law) & op_id opL op & op_id opC op => + fun opmC (opC' := @ComLaw opL opmC) & phant_id opC' opC => opC'. + +Definition clone_mul_law op := + fun (opM : mul_law) & op_id opM op => + fun op0m opm0 (opM' := @MulLaw op op0m opm0) & phant_id opM' opM => opM'. + +Definition clone_add_law mop aop := + fun (opC : com_law) (opA : add_law mop) & op_id opC aop & op_id opA aop => + fun mopDm mopmD (opA' := @AddLaw mop opC mopDm mopmD) + & phant_id opA' opA => opA'. + +End Definitions. + +Module Import Exports. +Coercion operator : law >-> Funclass. +Coercion com_operator : com_law >-> law. +Coercion mul_operator : mul_law >-> Funclass. +Coercion add_operator : add_law >-> com_law. +Notation "[ 'law' 'of' f ]" := (@clone_law _ _ f _ id _ _ _ id) + (at level 0, format"[ 'law' 'of' f ]") : form_scope. +Notation "[ 'com_law' 'of' f ]" := (@clone_com_law _ _ f _ _ id id _ id) + (at level 0, format "[ 'com_law' 'of' f ]") : form_scope. +Notation "[ 'mul_law' 'of' f ]" := (@clone_mul_law _ _ f _ id _ _ id) + (at level 0, format"[ 'mul_law' 'of' f ]") : form_scope. +Notation "[ 'add_law' m 'of' a ]" := (@clone_add_law _ _ m a _ _ id id _ _ id) + (at level 0, format "[ 'add_law' m 'of' a ]") : form_scope. +End Exports. + +Section CommutativeAxioms. + +Variable (T : Type) (zero one : T) (mul add : T -> T -> T) (inv : T -> T). +Hypothesis mulC : commutative mul. + +Lemma mulC_id : left_id one mul -> right_id one mul. +Proof. by move=> mul1x x; rewrite mulC. Qed. + +Lemma mulC_zero : left_zero zero mul -> right_zero zero mul. +Proof. by move=> mul0x x; rewrite mulC. Qed. + +Lemma mulC_dist : left_distributive mul add -> right_distributive mul add. +Proof. by move=> mul_addl x y z; rewrite !(mulC x). Qed. + +End CommutativeAxioms. +Module Theory. + +Section Theory. +Variables (T : Type) (idm : T). + +Section Plain. +Variable mul : law idm. +Lemma mul1m : left_id idm mul. Proof. by case mul. Qed. +Lemma mulm1 : right_id idm mul. Proof. by case mul. Qed. +Lemma mulmA : associative mul. Proof. by case mul. Qed. +(*Lemma iteropE n x : iterop n mul x idm = iter n (mul x) idm.*) + +End Plain. + +Section Commutative. +Variable mul : com_law idm. +Lemma mulmC : commutative mul. Proof. by case mul. Qed. +Lemma mulmCA : left_commutative mul. +Proof. by move=> x y z; rewrite !mulmA (mulmC x). Qed. +Lemma mulmAC : right_commutative mul. +Proof. by move=> x y z; rewrite -!mulmA (mulmC y). Qed. +Lemma mulmACA : interchange mul mul. +Proof. by move=> x y z t; rewrite -!mulmA (mulmCA y). Qed. +End Commutative. + +Section Mul. +Variable mul : mul_law idm. +Lemma mul0m : left_zero idm mul. Proof. by case mul. Qed. +Lemma mulm0 : right_zero idm mul. Proof. by case mul. Qed. +End Mul. + +Section Add. +Variables (mul : T -> T -> T) (add : add_law idm mul). +Lemma addmA : associative add. Proof. exact: mulmA. Qed. +Lemma addmC : commutative add. Proof. exact: mulmC. Qed. +Lemma addmCA : left_commutative add. Proof. exact: mulmCA. Qed. +Lemma addmAC : right_commutative add. Proof. exact: mulmAC. Qed. +Lemma add0m : left_id idm add. Proof. exact: mul1m. Qed. +Lemma addm0 : right_id idm add. Proof. exact: mulm1. Qed. +Lemma mulm_addl : left_distributive mul add. Proof. by case add. Qed. +Lemma mulm_addr : right_distributive mul add. Proof. by case add. Qed. +End Add. + +Definition simpm := (mulm1, mulm0, mul1m, mul0m, mulmA). + +End Theory. + +End Theory. +Include Theory. + +End Monoid. +Export Monoid.Exports. + +Section PervasiveMonoids. + +Import Monoid. + +Canonical andb_monoid := Law andbA andTb andbT. +Canonical andb_comoid := ComLaw andbC. + +Canonical andb_muloid := MulLaw andFb andbF. +Canonical orb_monoid := Law orbA orFb orbF. +Canonical orb_comoid := ComLaw orbC. +Canonical orb_muloid := MulLaw orTb orbT. +Canonical addb_monoid := Law addbA addFb addbF. +Canonical addb_comoid := ComLaw addbC. +Canonical orb_addoid := AddLaw andb_orl andb_orr. +Canonical andb_addoid := AddLaw orb_andl orb_andr. +Canonical addb_addoid := AddLaw andb_addl andb_addr. + +Canonical addn_monoid := Law addnA add0n addn0. +Canonical addn_comoid := ComLaw addnC. +Canonical muln_monoid := Law mulnA mul1n muln1. +Canonical muln_comoid := ComLaw mulnC. +Canonical muln_muloid := MulLaw mul0n muln0. +Canonical addn_addoid := AddLaw mulnDl mulnDr. + +Canonical cat_monoid T := Law (@catA T) (@cat0s T) (@cats0 T). + +End PervasiveMonoids. +Delimit Scope big_scope with BIG. +Open Scope big_scope. + +(* The bigbody wrapper is a workaround for a quirk of the Coq pretty-printer, *) +(* which would fail to redisplay the \big notation when the <general_term> or *) +(* <condition> do not depend on the bound index. The BigBody constructor *) +(* packages both in in a term in which i occurs; it also depends on the *) +(* iterated <op>, as this can give more information on the expected type of *) +(* the <general_term>, thus allowing for the insertion of coercions. *) +CoInductive bigbody R I := BigBody of I & (R -> R -> R) & bool & R. + +Definition applybig {R I} (body : bigbody R I) x := + let: BigBody _ op b v := body in if b then op v x else x. + +Definition reducebig R I idx r (body : I -> bigbody R I) := + foldr (applybig \o body) idx r. + +Module Type BigOpSig. +Parameter bigop : forall R I, R -> seq I -> (I -> bigbody R I) -> R. +Axiom bigopE : bigop = reducebig. +End BigOpSig. + +Module BigOp : BigOpSig. +Definition bigop := reducebig. +Lemma bigopE : bigop = reducebig. Proof. by []. Qed. +End BigOp. + +Notation bigop := BigOp.bigop (only parsing). +Canonical bigop_unlock := Unlockable BigOp.bigopE. + +Definition index_iota m n := iota m (n - m). + +Definition index_enum (T : finType) := Finite.enum T. + +Lemma mem_index_iota m n i : i \in index_iota m n = (m <= i < n). +Admitted. + +Lemma mem_index_enum T i : i \in index_enum T. +Admitted. + +Hint Resolve mem_index_enum. + +(* +Lemma filter_index_enum T P : filter P (index_enum T) = enum P. +Proof. by []. Qed. +*) + +Notation "\big [ op / idx ]_ ( i <- r | P ) F" := + (bigop idx r (fun i => BigBody i op P%B F)) : big_scope. +Notation "\big [ op / idx ]_ ( i <- r ) F" := + (bigop idx r (fun i => BigBody i op true F)) : big_scope. +Notation "\big [ op / idx ]_ ( m <= i < n | P ) F" := + (bigop idx (index_iota m n) (fun i : nat => BigBody i op P%B F)) + : big_scope. +Notation "\big [ op / idx ]_ ( m <= i < n ) F" := + (bigop idx (index_iota m n) (fun i : nat => BigBody i op true F)) + : big_scope. +Notation "\big [ op / idx ]_ ( i | P ) F" := + (bigop idx (index_enum _) (fun i => BigBody i op P%B F)) : big_scope. +Notation "\big [ op / idx ]_ i F" := + (bigop idx (index_enum _) (fun i => BigBody i op true F)) : big_scope. +Notation "\big [ op / idx ]_ ( i : t | P ) F" := + (bigop idx (index_enum _) (fun i : t => BigBody i op P%B F)) + (only parsing) : big_scope. +Notation "\big [ op / idx ]_ ( i : t ) F" := + (bigop idx (index_enum _) (fun i : t => BigBody i op true F)) + (only parsing) : big_scope. +Notation "\big [ op / idx ]_ ( i < n | P ) F" := + (\big[op/idx]_(i : ordinal n | P%B) F) : big_scope. +Notation "\big [ op / idx ]_ ( i < n ) F" := + (\big[op/idx]_(i : ordinal n) F) : big_scope. +Notation "\big [ op / idx ]_ ( i 'in' A | P ) F" := + (\big[op/idx]_(i | (i \in A) && P) F) : big_scope. +Notation "\big [ op / idx ]_ ( i 'in' A ) F" := + (\big[op/idx]_(i | i \in A) F) : big_scope. + +Notation BIG_F := (F in \big[_/_]_(i <- _ | _) F i)%pattern. +Notation BIG_P := (P in \big[_/_]_(i <- _ | P i) _)%pattern. + +(* Induction loading *) +Lemma big_load R (K K' : R -> Type) idx op I r (P : pred I) F : + K (\big[op/idx]_(i <- r | P i) F i) * K' (\big[op/idx]_(i <- r | P i) F i) + -> K' (\big[op/idx]_(i <- r | P i) F i). +Proof. by case. Qed. + +Arguments big_load [R] K [K'] idx op [I]. + +Section Elim3. + +Variables (R1 R2 R3 : Type) (K : R1 -> R2 -> R3 -> Type). +Variables (id1 : R1) (op1 : R1 -> R1 -> R1). +Variables (id2 : R2) (op2 : R2 -> R2 -> R2). +Variables (id3 : R3) (op3 : R3 -> R3 -> R3). + +Hypothesis Kid : K id1 id2 id3. + +Lemma big_rec3 I r (P : pred I) F1 F2 F3 + (K_F : forall i y1 y2 y3, P i -> K y1 y2 y3 -> + K (op1 (F1 i) y1) (op2 (F2 i) y2) (op3 (F3 i) y3)) : + K (\big[op1/id1]_(i <- r | P i) F1 i) + (\big[op2/id2]_(i <- r | P i) F2 i) + (\big[op3/id3]_(i <- r | P i) F3 i). +Proof. by rewrite unlock; elim: r => //= i r; case: ifP => //; apply: K_F. Qed. + +Hypothesis Kop : forall x1 x2 x3 y1 y2 y3, + K x1 x2 x3 -> K y1 y2 y3-> K (op1 x1 y1) (op2 x2 y2) (op3 x3 y3). +Lemma big_ind3 I r (P : pred I) F1 F2 F3 + (K_F : forall i, P i -> K (F1 i) (F2 i) (F3 i)) : + K (\big[op1/id1]_(i <- r | P i) F1 i) + (\big[op2/id2]_(i <- r | P i) F2 i) + (\big[op3/id3]_(i <- r | P i) F3 i). +Proof. by apply: big_rec3 => i x1 x2 x3 /K_F; apply: Kop. Qed. + +End Elim3. + +Arguments big_rec3 [R1 R2 R3] K [id1 op1 id2 op2 id3 op3] _ [I r P F1 F2 F3]. +Arguments big_ind3 [R1 R2 R3] K [id1 op1 id2 op2 id3 op3] _ _ [I r P F1 F2 F3]. + +Section Elim2. + +Variables (R1 R2 : Type) (K : R1 -> R2 -> Type) (f : R2 -> R1). +Variables (id1 : R1) (op1 : R1 -> R1 -> R1). +Variables (id2 : R2) (op2 : R2 -> R2 -> R2). + +Hypothesis Kid : K id1 id2. + +Lemma big_rec2 I r (P : pred I) F1 F2 + (K_F : forall i y1 y2, P i -> K y1 y2 -> + K (op1 (F1 i) y1) (op2 (F2 i) y2)) : + K (\big[op1/id1]_(i <- r | P i) F1 i) (\big[op2/id2]_(i <- r | P i) F2 i). +Proof. by rewrite unlock; elim: r => //= i r; case: ifP => //; apply: K_F. Qed. + +Hypothesis Kop : forall x1 x2 y1 y2, + K x1 x2 -> K y1 y2 -> K (op1 x1 y1) (op2 x2 y2). +Lemma big_ind2 I r (P : pred I) F1 F2 (K_F : forall i, P i -> K (F1 i) (F2 i)) : + K (\big[op1/id1]_(i <- r | P i) F1 i) (\big[op2/id2]_(i <- r | P i) F2 i). +Proof. by apply: big_rec2 => i x1 x2 /K_F; apply: Kop. Qed. + +Hypotheses (f_op : {morph f : x y / op2 x y >-> op1 x y}) (f_id : f id2 = id1). +Lemma big_morph I r (P : pred I) F : + f (\big[op2/id2]_(i <- r | P i) F i) = \big[op1/id1]_(i <- r | P i) f (F i). +Proof. by rewrite unlock; elim: r => //= i r <-; rewrite -f_op -fun_if. Qed. + +End Elim2. + +Arguments big_rec2 [R1 R2] K [id1 op1 id2 op2] _ [I r P F1 F2]. +Arguments big_ind2 [R1 R2] K [id1 op1 id2 op2] _ _ [I r P F1 F2]. +Arguments big_morph [R1 R2] f [id1 op1 id2 op2] _ _ [I]. + +Section Elim1. + +Variables (R : Type) (K : R -> Type) (f : R -> R). +Variables (idx : R) (op op' : R -> R -> R). + +Hypothesis Kid : K idx. + +Lemma big_rec I r (P : pred I) F + (Kop : forall i x, P i -> K x -> K (op (F i) x)) : + K (\big[op/idx]_(i <- r | P i) F i). +Proof. by rewrite unlock; elim: r => //= i r; case: ifP => //; apply: Kop. Qed. + +Hypothesis Kop : forall x y, K x -> K y -> K (op x y). +Lemma big_ind I r (P : pred I) F (K_F : forall i, P i -> K (F i)) : + K (\big[op/idx]_(i <- r | P i) F i). +Proof. by apply: big_rec => // i x /K_F /Kop; apply. Qed. + +Hypothesis Kop' : forall x y, K x -> K y -> op x y = op' x y. +Lemma eq_big_op I r (P : pred I) F (K_F : forall i, P i -> K (F i)) : + \big[op/idx]_(i <- r | P i) F i = \big[op'/idx]_(i <- r | P i) F i. +Proof. +by elim/(big_load K): _; elim/big_rec2: _ => // i _ y Pi [Ky <-]; auto. +Qed. + +Hypotheses (fM : {morph f : x y / op x y}) (f_id : f idx = idx). +Lemma big_endo I r (P : pred I) F : + f (\big[op/idx]_(i <- r | P i) F i) = \big[op/idx]_(i <- r | P i) f (F i). +Proof. exact: big_morph. Qed. + +End Elim1. + +Arguments big_rec [R] K [idx op] _ [I r P F]. +Arguments big_ind [R] K [idx op] _ _ [I r P F]. +Arguments eq_big_op [R] K [idx op] op' _ _ _ [I]. +Arguments big_endo [R] f [idx op] _ _ [I]. + +(* zmodp -------------------------------------------------------------------- *) + +Lemma ord1 : all_equal_to (@Ordinal 1 0 is_true_true : 'I_1). +Admitted. diff --git a/test-suite/prerequisite/ssr_ssrsyntax1.v b/test-suite/prerequisite/ssr_ssrsyntax1.v new file mode 100644 index 0000000000..2b404e2de0 --- /dev/null +++ b/test-suite/prerequisite/ssr_ssrsyntax1.v @@ -0,0 +1,36 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require ssreflect. +Require Import Arith. + +Goal (forall a b, a + b = b + a). +intros. +rewrite plus_comm, plus_comm. +split. +Abort. + +Module Foo. +Import ssreflect. + +Goal (forall a b, a + b = b + a). +intros. +rewrite 2![_ + _]plus_comm. +split. +Abort. +End Foo. + +Goal (forall a b, a + b = b + a). +intros. +rewrite plus_comm, plus_comm. +split. +Abort. diff --git a/test-suite/save-logs.sh b/test-suite/save-logs.sh index b613621085..9b8fff09f8 100755 --- a/test-suite/save-logs.sh +++ b/test-suite/save-logs.sh @@ -9,7 +9,7 @@ mkdir "$SAVEDIR" # keep this synced with test-suite/Makefile FAILMARK="==========> FAILURE <==========" -FAILED=$(mktemp /tmp/coq-check-XXXXX) +FAILED=$(mktemp /tmp/coq-check-XXXXXX) find . '(' -path ./bugs/opened -prune ')' -o '(' -name '*.log' -exec grep "$FAILMARK" -q '{}' ';' -print0 ')' > "$FAILED" rsync -a --from0 --files-from="$FAILED" . "$SAVEDIR" diff --git a/test-suite/ssr/absevarprop.v b/test-suite/ssr/absevarprop.v new file mode 100644 index 0000000000..fa1de00957 --- /dev/null +++ b/test-suite/ssr/absevarprop.v @@ -0,0 +1,96 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect ssrbool ssrfun. +Require Import TestSuite.ssr_mini_mathcomp. + +Lemma test15: forall (y : nat) (x : 'I_2), y < 1 -> val x = y -> Some x = insub y. +move=> y x le_1 defx; rewrite insubT ?(leq_trans le_1) // => ?. +by congr (Some _); apply: val_inj=> /=; exact: defx. +Qed. + +Axiom P : nat -> Prop. +Axiom Q : forall n, P n -> Prop. +Definition R := fun (x : nat) (p : P x) m (q : P (x+1)) => m > 0. + +Inductive myEx : Type := ExI : forall n (pn : P n) pn', Q n pn -> R n pn n pn' -> myEx. + +Variable P1 : P 1. +Variable P11 : P (1 + 1). +Variable Q1 : forall P1, Q 1 P1. + +Lemma testmE1 : myEx. +Proof. +apply: ExI 1 _ _ _ _. + match goal with |- P 1 => exact: P1 | _ => fail end. + match goal with |- P (1+1) => exact: P11 | _ => fail end. + match goal with |- forall p : P 1, Q 1 p => move=> *; exact: Q1 | _ => fail end. +match goal with |- forall (p : P 1) (q : P (1+1)), is_true (R 1 p 1 q) => done | _ => fail end. +Qed. + +Lemma testE2 : exists y : { x | P x }, sval y = 1. +Proof. +apply: ex_intro (exist _ 1 _) _. + match goal with |- P 1 => exact: P1 | _ => fail end. +match goal with |- forall p : P 1, @sval _ _ (@exist _ _ 1 p) = 1 => done | _ => fail end. +Qed. + +Lemma testE3 : exists y : { x | P x }, sval y = 1. +Proof. +have := (ex_intro _ (exist _ 1 _) _); apply. + match goal with |- P 1 => exact: P1 | _ => fail end. +match goal with |- forall p : P 1, @sval _ _ (@exist _ _ 1 p) = 1 => done | _ => fail end. +Qed. + +Lemma testE4 : P 2 -> exists y : { x | P x }, sval y = 2. +Proof. +move=> P2; apply: ex_intro (exist _ 2 _) _. +match goal with |- @sval _ _ (@exist _ _ 2 P2) = 2 => done | _ => fail end. +Qed. + +Hint Resolve P1. + +Lemma testmE12 : myEx. +Proof. +apply: ExI 1 _ _ _ _. + match goal with |- P (1+1) => exact: P11 | _ => fail end. + match goal with |- Q 1 P1 => exact: Q1 | _ => fail end. +match goal with |- forall (q : P (1+1)), is_true (R 1 P1 1 q) => done | _ => fail end. +Qed. + +Create HintDb SSR. + +Hint Resolve P11 : SSR. + +Ltac ssrautoprop := trivial with SSR. + +Lemma testmE13 : myEx. +Proof. +apply: ExI 1 _ _ _ _. + match goal with |- Q 1 P1 => exact: Q1 | _ => fail end. +match goal with |- is_true (R 1 P1 1 P11) => done | _ => fail end. +Qed. + +Definition R1 := fun (x : nat) (p : P x) m (q : P (x+1)) (r : Q x p) => m > 0. + +Inductive myEx1 : Type := + ExI1 : forall n (pn : P n) pn' (q : Q n pn), R1 n pn n pn' q -> myEx1. + +Hint Resolve (Q1 P1) : SSR. + +(* tests that goals in prop are solved in the right order, propagating instantiations, + thus the goal Q 1 ?p1 is faced by trivial after ?p1, and is thus evar free *) +Lemma testmE14 : myEx1. +Proof. +apply: ExI1 1 _ _ _ _. +match goal with |- is_true (R1 1 P1 1 P11 (Q1 P1)) => done | _ => fail end. +Qed. diff --git a/test-suite/ssr/abstract_var2.v b/test-suite/ssr/abstract_var2.v new file mode 100644 index 0000000000..7c57d2024f --- /dev/null +++ b/test-suite/ssr/abstract_var2.v @@ -0,0 +1,25 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +Require Import ssreflect. + +Set Implicit Arguments. + +Axiom P : nat -> nat -> Prop. + +Axiom tr : + forall x y z, P x y -> P y z -> P x z. + +Lemma test a b c : P a c -> P a b. +Proof. +intro H. +Fail have [: s1 s2] H1 : P a b := @tr _ _ _ s1 s2. +have [: w s1 s2] H1 : P a b := @tr _ w _ s1 s2. +Abort. diff --git a/test-suite/ssr/binders.v b/test-suite/ssr/binders.v new file mode 100644 index 0000000000..97b7d830fa --- /dev/null +++ b/test-suite/ssr/binders.v @@ -0,0 +1,55 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Lemma test (x : bool) : True. +have H1 x := x. +have (x) := x => H2. +have H3 T (x : T) := x. +have ? : bool := H1 _ x. +have ? : bool := H2 _ x. +have ? : bool := H3 _ x. +have ? (z : bool) : forall y : bool, z = z := fun y => refl_equal _. +have ? w : w = w := @refl_equal nat w. +have ? y : true by []. +have ? (z : bool) : z = z. + exact: (@refl_equal _ z). +have ? (z w : bool) : z = z by exact: (@refl_equal _ z). +have H w (a := 3) (_ := 4) : w && true = w. + by rewrite andbT. +exact I. +Qed. + +Lemma test1 : True. +suff (x : bool): x = x /\ True. + by move/(_ true); case=> _. +split; first by exact: (@refl_equal _ x). +suff H y : y && true = y /\ True. + by case: (H true). +suff H1 /= : true && true /\ True. + by rewrite andbT; split; [exact: (@refl_equal _ y) | exact: I]. +match goal with |- is_true true /\ True => idtac end. +by split. +Qed. + +Lemma foo n : n >= 0. +have f i (j := i + n) : j < n. + match goal with j := i + n |- _ => idtac end. +Undo 2. +suff f i (j := i + n) : j < n. + done. +match goal with j := i + n |- _ => idtac end. +Undo 3. +done. +Qed. diff --git a/test-suite/ssr/binders_of.v b/test-suite/ssr/binders_of.v new file mode 100644 index 0000000000..69b52eacea --- /dev/null +++ b/test-suite/ssr/binders_of.v @@ -0,0 +1,23 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + + +Require Import ssreflect. +Require Import TestSuite.ssr_mini_mathcomp. + +Lemma test1 : True. +have f of seq nat & nat : nat. + exact 3. +have g of nat := 3. +have h of nat : nat := 3. +have _ : f [::] 3 = g 3 + h 4. +Admitted. diff --git a/test-suite/ssr/caseview.v b/test-suite/ssr/caseview.v new file mode 100644 index 0000000000..94b064b02f --- /dev/null +++ b/test-suite/ssr/caseview.v @@ -0,0 +1,17 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Lemma test (A B : Prop) : A /\ B -> True. +Proof. by case=> _ /id _. Qed. diff --git a/test-suite/ssr/congr.v b/test-suite/ssr/congr.v new file mode 100644 index 0000000000..7e60b04a6b --- /dev/null +++ b/test-suite/ssr/congr.v @@ -0,0 +1,34 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Lemma test1 : forall a b : nat, a == b -> a == 0 -> b == 0. +Proof. move=> a b Eab Eac; congr (_ == 0) : Eac; exact: eqP Eab. Qed. + +Definition arrow A B := A -> B. + +Lemma test2 : forall a b : nat, a == b -> arrow (a == 0) (b == 0). +Proof. move=> a b Eab; congr (_ == 0); exact: eqP Eab. Qed. + +Definition equals T (A B : T) := A = B. + +Lemma test3 : forall a b : nat, a = b -> equals nat (a + b) (b + b). +Proof. move=> a b E; congr (_ + _); exact E. Qed. + +Variable S : eqType. +Variable f : nat -> S. +Coercion f : nat >-> Equality.sort. + +Lemma test4 : forall a b : nat, b = a -> @eq S (b + b) (a + a). +Proof. move=> a b Eba; congr (_ + _); exact: Eba. Qed. diff --git a/test-suite/ssr/deferclear.v b/test-suite/ssr/deferclear.v new file mode 100644 index 0000000000..85353dadff --- /dev/null +++ b/test-suite/ssr/deferclear.v @@ -0,0 +1,37 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Variable T : Type. + +Lemma test0 : forall a b c d : T, True. +Proof. by move=> a b {a} a c; exact I. Qed. + +Variable P : T -> Prop. + +Lemma test1 : forall a b c : T, P a -> forall d : T, True. +Proof. move=> a b {a} a _ d; exact I. Qed. + +Definition Q := forall x y : nat, x = y. +Axiom L : 0 = 0 -> Q. +Axiom L' : 0 = 0 -> forall x y : nat, x = y. +Lemma test3 : Q. +by apply/L. +Undo. +rewrite /Q. +by apply/L. +Undo 2. +by apply/L'. +Qed. diff --git a/test-suite/ssr/dependent_type_err.v b/test-suite/ssr/dependent_type_err.v new file mode 100644 index 0000000000..a5789d8dd8 --- /dev/null +++ b/test-suite/ssr/dependent_type_err.v @@ -0,0 +1,20 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrfun ssrbool TestSuite.ssr_mini_mathcomp. + +Lemma ltn_leq_trans : forall n m p : nat, m < n -> n <= p -> m < p. +move=> n m p Hmn Hnp; rewrite -ltnS. +Fail rewrite (_ : forall n0 m0 p0 : nat, m0 <= n0 -> n0 < p0 -> m0 < p0). +Fail rewrite leq_ltn_trans. +Admitted. diff --git a/test-suite/ssr/derive_inversion.v b/test-suite/ssr/derive_inversion.v new file mode 100644 index 0000000000..abf63a20ce --- /dev/null +++ b/test-suite/ssr/derive_inversion.v @@ -0,0 +1,29 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +Require Import ssreflect ssrbool. + +Set Implicit Arguments. + + Inductive wf T : bool -> option T -> Type := + | wf_f : wf false None + | wf_t : forall x, wf true (Some x). + + Derive Inversion wf_inv with (forall T b (o : option T), wf b o) Sort Prop. + + Lemma Problem T b (o : option T) : + wf b o -> + match b with + | true => exists x, o = Some x + | false => o = None + end. + Proof. + by case: b; elim/wf_inv=> //; case: o=> // a *; exists a. + Qed. diff --git a/test-suite/ssr/elim.v b/test-suite/ssr/elim.v new file mode 100644 index 0000000000..908249a369 --- /dev/null +++ b/test-suite/ssr/elim.v @@ -0,0 +1,279 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool ssrfun TestSuite.ssr_mini_mathcomp. +Axiom daemon : False. Ltac myadmit := case: daemon. + +(* Ltac debugging feature: recursive elim + eq generation *) +Lemma testL1 : forall A (s : seq A), s = s. +Proof. +move=> A s; elim branch: s => [|x xs _]. +match goal with _ : _ = [::] |- [::] = [::] => move: branch => // | _ => fail end. +match goal with _ : _ = _ :: _ |- _ :: _ = _ :: _ => move: branch => // | _ => fail end. +Qed. + +(* The same but with explicit eliminator and a conflict in the intro pattern *) +Lemma testL2 : forall A (s : seq A), s = s. +Proof. +move=> A s; elim/last_ind branch: s => [|x s _]. +match goal with _ : _ = [::] |- [::] = [::] => move: branch => // | _ => fail end. +match goal with _ : _ = rcons _ _ |- rcons _ _ = rcons _ _ => move: branch => // | _ => fail end. +Qed. + +(* The same but without names for variables involved in the generated eq *) +Lemma testL3 : forall A (s : seq A), s = s. +Proof. +move=> A s; elim branch: s; move: (s) => _. +match goal with _ : _ = [::] |- [::] = [::] => move: branch => // | _ => fail end. +move=> _; match goal with _ : _ = _ :: _ |- _ :: _ = _ :: _ => move: branch => // | _ => fail end. +Qed. + +Inductive foo : Type := K1 : foo | K2 : foo -> foo -> foo | K3 : (nat -> foo) -> foo. + +(* The same but with more intros to be done *) +Lemma testL4 : forall (o : foo), o = o. +Proof. +move=> o; elim branch: o. +match goal with _ : _ = K1 |- K1 = K1 => move: branch => // | _ => fail end. +move=> _; match goal with _ : _ = K2 _ _ |- K2 _ _ = K2 _ _ => move: branch => // | _ => fail end. +move=> _; match goal with _ : _ = K3 _ |- K3 _ = K3 _ => move: branch => // | _ => fail end. +Qed. + +(* Occurrence counting *) +Lemma testO1: forall (b : bool), b = b. +Proof. +move=> b; case: (b) / idP. +match goal with |- is_true b -> true = true => done | _ => fail end. +match goal with |- ~ is_true b -> false = false => done | _ => fail end. +Qed. + +(* The same but only the second occ *) +Lemma testO2: forall (b : bool), b = b. +Proof. +move=> b; case: {2}(b) / idP. +match goal with |- is_true b -> b = true => done | _ => fail end. +match goal with |- ~ is_true b -> b = false => move/(introF idP) => // | _ => fail end. +Qed. + +(* The same but with eq generation *) +Lemma testO3: forall (b : bool), b = b. +Proof. +move=> b; case E: {2}(b) / idP. +match goal with _ : is_true b, _ : b = true |- b = true => move: E => _; done | _ => fail end. +match goal with H : ~ is_true b, _ : b = false |- b = false => move: E => _; move/(introF idP): H => // | _ => fail end. +Qed. + +(* Views *) +Lemma testV1 : forall A (s : seq A), s = s. +Proof. +move=> A s; case/lastP E: {1}s => [| x xs]. +match goal with _ : s = [::] |- [::] = s => symmetry; exact E | _ => fail end. +match goal with _ : s = rcons x xs |- rcons _ _ = s => symmetry; exact E | _ => fail end. +Qed. + +Lemma testV2 : forall A (s : seq A), s = s. +Proof. +move=> A s; case/lastP E: s => [| x xs]. +match goal with _ : s = [::] |- [::] = [::] => done | _ => fail end. +match goal with _ : s = rcons x xs |- rcons _ _ = rcons _ _ => done | _ => fail end. +Qed. + +Lemma testV3 : forall A (s : seq A), s = s. +Proof. +move=> A s; case/lastP: s => [| x xs]. +match goal with |- [::] = [::] => done | _ => fail end. +match goal with |- rcons _ _ = rcons _ _ => done | _ => fail end. +Qed. + +(* Patterns *) +Lemma testP1: forall (x y : nat), (y == x) && (y == x) -> y == x. +move=> x y; elim: {2}(_ == _) / eqP. +match goal with |- (y = x -> is_true ((y == x) && true) -> is_true (y == x)) => move=> -> // | _ => fail end. +match goal with |- (y <> x -> is_true ((y == x) && false) -> is_true (y == x)) => move=> _; rewrite andbC // | _ => fail end. +Qed. + +(* The same but with an implicit pattern *) +Lemma testP2 : forall (x y : nat), (y == x) && (y == x) -> y == x. +move=> x y; elim: {2}_ / eqP. +match goal with |- (y = x -> is_true ((y == x) && true) -> is_true (y == x)) => move=> -> // | _ => fail end. +match goal with |- (y <> x -> is_true ((y == x) && false) -> is_true (y == x)) => move=> _; rewrite andbC // | _ => fail end. +Qed. + +(* The same but with an eq generation switch *) +Lemma testP3 : forall (x y : nat), (y == x) && (y == x) -> y == x. +move=> x y; elim E: {2}_ / eqP. +match goal with _ : y = x |- (is_true ((y == x) && true) -> is_true (y == x)) => rewrite E; reflexivity | _ => fail end. +match goal with _ : y <> x |- (is_true ((y == x) && false) -> is_true (y == x)) => rewrite E => /= H; exact H | _ => fail end. +Qed. + +Inductive spec : nat -> nat -> nat -> Prop := +| specK : forall a b c, a = 0 -> b = 2 -> c = 4 -> spec a b c. +Lemma specP : spec 0 2 4. Proof. by constructor. Qed. + +Lemma testP4 : (1+1) * 4 = 2 + (1+1) + (2 + 2). +Proof. +case: specP => a b c defa defb defc. +match goal with |- (a.+1 + a.+1) * c = b + (a.+1 + a.+1) + (b + b) => subst; done | _ => fail end. +Qed. + +Lemma testP5 : (1+1) * 4 = 2 + (1+1) + (2 + 2). +Proof. +case: (1 + 1) _ / specP => a b c defa defb defc. +match goal with |- b * c = a.+2 + b + (a.+2 + a.+2) => subst; done | _ => fail end. +Qed. + +Lemma testP6 : (1+1) * 4 = 2 + (1+1) + (2 + 2). +Proof. +case: {2}(1 + 1) _ / specP => a b c defa defb defc. +match goal with |- (a.+1 + a.+1) * c = a.+2 + b + (a.+2 + a.+2) => subst; done | _ => fail end. +Qed. + +Lemma testP7 : (1+1) * 4 = 2 + (1+1) + (2 + 2). +Proof. +case: _ (1 + 1) (2 + _) / specP => a b c defa defb defc. +match goal with |- b * a.+4 = c + c => subst; done | _ => fail end. +Qed. + +Lemma testP8 : (1+1) * 4 = 2 + (1+1) + (2 + 2). +Proof. +case E: (1 + 1) (2 + _) / specP=> [a b c defa defb defc]. +match goal with |- b * a.+4 = c + c => subst; done | _ => fail end. +Qed. + +Variables (T : Type) (tr : T -> T). + +Inductive exec (cf0 cf1 : T) : seq T -> Prop := +| exec_step : tr cf0 = cf1 -> exec cf0 cf1 [::] +| exec_star : forall cf2 t, tr cf0 = cf2 -> + exec cf2 cf1 t -> exec cf0 cf1 (cf2 :: t). + +Inductive execr (cf0 cf1 : T) : seq T -> Prop := +| execr_step : tr cf0 = cf1 -> execr cf0 cf1 [::] +| execr_star : forall cf2 t, execr cf0 cf2 t -> + tr cf2 = cf1 -> execr cf0 cf1 (t ++ [:: cf2]). + +Lemma execP : forall cf0 cf1 t, exec cf0 cf1 t <-> execr cf0 cf1 t. +Proof. +move=> cf0 cf1 t; split => [] Ecf. + elim: Ecf. + match goal with |- forall cf2 cf3 : T, tr cf2 = cf3 -> + execr cf2 cf3 [::] => myadmit | _ => fail end. + match goal with |- forall (cf2 cf3 cf4 : T) (t0 : seq T), + tr cf2 = cf4 -> exec cf4 cf3 t0 -> execr cf4 cf3 t0 -> + execr cf2 cf3 (cf4 :: t0) => myadmit | _ => fail end. +elim: Ecf. + match goal with |- forall cf2 : T, + tr cf0 = cf2 -> exec cf0 cf2 [::] => myadmit | _ => fail end. +match goal with |- forall (cf2 cf3 : T) (t0 : seq T), + execr cf0 cf3 t0 -> exec cf0 cf3 t0 -> tr cf3 = cf2 -> + exec cf0 cf2 (t0 ++ [:: cf3]) => myadmit | _ => fail end. +Qed. + +Fixpoint plus (m n : nat) {struct n} : nat := + match n with + | 0 => m + | S p => S (plus m p) + end. + +Definition plus_equation : +forall m n : nat, + plus m n = + match n with + | 0 => m + | p.+1 => (plus m p).+1 + end +:= +fun m n : nat => +match + n as n0 + return + (forall m0 : nat, + plus m0 n0 = + match n0 with + | 0 => m0 + | p.+1 => (plus m0 p).+1 + end) +with +| 0 => @erefl nat +| n0.+1 => fun m0 : nat => erefl (plus m0 n0).+1 +end m. + +Definition plus_rect : +forall (m : nat) (P : nat -> nat -> Type), + (forall n : nat, n = 0 -> P 0 m) -> + (forall n p : nat, + n = p.+1 -> P p (plus m p) -> P p.+1 (plus m p).+1) -> + forall n : nat, P n (plus m n) +:= +fun (m : nat) (P : nat -> nat -> Type) + (f0 : forall n : nat, n = 0 -> P 0 m) + (f : forall n p : nat, + n = p.+1 -> P p (plus m p) -> P p.+1 (plus m p).+1) => +fix plus0 (n : nat) : P n (plus m n) := + eq_rect_r [eta P n] + (let f1 := f0 n in + let f2 := f n in + match + n as n0 + return + (n = n0 -> + (forall p : nat, + n0 = p.+1 -> P p (plus m p) -> P p.+1 (plus m p).+1) -> + (n0 = 0 -> P 0 m) -> + P n0 match n0 with + | 0 => m + | p.+1 => (plus m p).+1 + end) + with + | 0 => + fun (_ : n = 0) + (_ : forall p : nat, + 0 = p.+1 -> + P p (plus m p) -> P p.+1 (plus m p).+1) + (f4 : 0 = 0 -> P 0 m) => unkeyed (f4 (erefl 0)) + | n0.+1 => + fun (_ : n = n0.+1) + (f3 : forall p : nat, + n0.+1 = p.+1 -> + P p (plus m p) -> P p.+1 (plus m p).+1) + (_ : n0.+1 = 0 -> P 0 m) => + let f5 := + let p := n0 in + let H := erefl n0.+1 : n0.+1 = p.+1 in f3 p H in + unkeyed (let Hrec := plus0 n0 in f5 Hrec) + end (erefl n) f2 f1) (plus_equation m n). + +Definition plus_ind := plus_rect. + +Lemma exF x y z: plus (plus x y) z = plus x (plus y z). +elim/plus_ind: z / (plus _ z). +match goal with |- forall n : nat, n = 0 -> plus x y = plus x (plus y 0) => idtac end. +Undo 2. +elim/plus_ind: (plus _ z). +match goal with |- forall n : nat, n = 0 -> plus x y = plus x (plus y 0) => idtac end. +Undo 2. +elim/plus_ind: {z}(plus _ z). +match goal with |- forall n : nat, n = 0 -> plus x y = plus x (plus y 0) => idtac end. +Undo 2. +elim/plus_ind: {z}_. +match goal with |- forall n : nat, n = 0 -> plus x y = plus x (plus y 0) => idtac end. +Undo 2. +elim/plus_ind: z / _. +match goal with |- forall n : nat, n = 0 -> plus x y = plus x (plus y 0) => idtac end. + done. +by move=> _ p _ ->. +Qed. + +(* BUG elim-False *) +Lemma testeF : False -> 1 = 0. +Proof. by elim. Qed. diff --git a/test-suite/ssr/elim2.v b/test-suite/ssr/elim2.v new file mode 100644 index 0000000000..c7c20d8f8b --- /dev/null +++ b/test-suite/ssr/elim2.v @@ -0,0 +1,74 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. +(* div fintype finfun path bigop. *) + +Axiom daemon : False. Ltac myadmit := case: daemon. + +Lemma big_load R (K K' : R -> Type) idx op I r (P : pred I) F : + let s := \big[op/idx]_(i <- r | P i) F i in + K s * K' s -> K' s. +Proof. by move=> /= [_]. Qed. +Arguments big_load [R] K [K' idx op I r P F]. + +Section Elim1. + +Variables (R : Type) (K : R -> Type) (f : R -> R). +Variables (idx : R) (op op' : R -> R -> R). + +Hypothesis Kid : K idx. + +Ltac ASSERT1 := match goal with |- (K idx) => myadmit end. +Ltac ASSERT2 K := match goal with |- (forall x1 : R, R -> + forall y1 : R, R -> K x1 -> K y1 -> K (op x1 y1)) => myadmit end. + + +Lemma big_rec I r (P : pred I) F + (Kop : forall i x, P i -> K x -> K (op (F i) x)) : + K (\big[op/idx]_(i <- r | P i) F i). +Proof. +elim/big_ind2: {-}_. + ASSERT1. ASSERT2 K. match goal with |- (forall i : I, is_true (P i) -> K (F i)) => myadmit end. Undo 4. +elim/big_ind2: _ / {-}_. + ASSERT1. ASSERT2 K. match goal with |- (forall i : I, is_true (P i) -> K (F i)) => myadmit end. Undo 4. + +elim/big_rec2: (\big[op/idx]_(i <- r | P i) op idx (F i)) + / (\big[op/idx]_(i <- r | P i) F i). + ASSERT1. match goal with |- (forall i : I, R -> forall y2 : R, is_true (P i) -> K y2 -> K (op (F i) y2)) => myadmit end. Undo 3. + +elim/(big_load (phantom R)): _. + Undo. + +Fail elim/big_rec2: {2}_. + +elim/big_rec2: (\big[op/idx]_(i <- r | P i) F i) + / {1}(\big[op/idx]_(i <- r | P i) F i). + Undo. + +elim/(big_load (phantom R)): _. +Undo. + +Fail elim/big_rec2: _ / {2}(\big[op/idx]_(i <- r | P i) F i). +Admitted. + +Definition morecomplexthannecessary A (P : A -> A -> Prop) x y := P x y. + +Lemma grab A (P : A -> A -> Prop) n m : (n = m) -> (P n n) -> morecomplexthannecessary A P n m. +by move->. +Qed. + +Goal forall n m, m + (n + m) = m + (n * 1 + m). +Proof. move=> n m; elim/grab : (_ * _) / {1}n => //; exact: muln1. Qed. + +End Elim1. diff --git a/test-suite/ssr/elim_pattern.v b/test-suite/ssr/elim_pattern.v new file mode 100644 index 0000000000..ef4658287f --- /dev/null +++ b/test-suite/ssr/elim_pattern.v @@ -0,0 +1,27 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. +Axiom daemon : False. Ltac myadmit := case: daemon. + +Lemma test x : (x == x) = (x + x.+1 == 2 * x + 1). +case: (X in _ = X) / eqP => _. +match goal with |- (x == x) = true => myadmit end. +match goal with |- (x == x) = false => myadmit end. +Qed. + +Lemma test1 x : (x == x) = (x + x.+1 == 2 * x + 1). +elim: (x in RHS). +match goal with |- (x == x) = _ => myadmit end. +match goal with |- forall n, (x == x) = _ -> (x == x) = _ => myadmit end. +Qed. diff --git a/test-suite/ssr/first_n.v b/test-suite/ssr/first_n.v new file mode 100644 index 0000000000..4971add919 --- /dev/null +++ b/test-suite/ssr/first_n.v @@ -0,0 +1,21 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. + +Lemma test : False -> (bool -> False -> True -> True) -> True. +move=> F; let w := constr:(2) in apply; last w first. +- by apply: F. +- by apply: I. +- by apply: true. +Qed. diff --git a/test-suite/ssr/gen_have.v b/test-suite/ssr/gen_have.v new file mode 100644 index 0000000000..249e006f9f --- /dev/null +++ b/test-suite/ssr/gen_have.v @@ -0,0 +1,174 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrfun ssrbool TestSuite.ssr_mini_mathcomp. +Axiom daemon : False. Ltac myadmit := case: daemon. + +Axiom P : nat -> Prop. +Lemma clear_test (b1 b2 : bool) : b2 = b2. +Proof. +(* wlog gH : (b3 := b2) / b2 = b3. myadmit. *) +gen have {b1} H, gH : (b3 := b2) (w := erefl 3) / b2 = b3. + myadmit. +Fail exact (H b1). +exact (H b2 (erefl _)). +Qed. + + +Lemma test1 n (ngt0 : 0 < n) : P n. +gen have lt2le, /andP[H1 H2] : n ngt0 / (0 <= n) && (n != 0). + match goal with |- is_true((0 <= n) && (n != 0)) => myadmit end. +Check (lt2le : forall n : nat, 0 < n -> (0 <= n) && (n != 0)). +Check (H1 : 0 <= n). +Check (H2 : n != 0). +myadmit. +Qed. + +Lemma test2 n (ngt0 : 0 < n) : P n. +gen have _, /andP[H1 H2] : n ngt0 / (0 <= n) && (n != 0). + match goal with |- is_true((0 <= n) && (n != 0)) => myadmit end. +lazymatch goal with + | lt2le : forall n : nat, is_true(0 < n) -> is_true((0 <= n) && (n != 0)) + |- _ => fail "not cleared" + | _ => idtac end. +Check (H1 : 0 <= n). +Check (H2 : n != 0). +myadmit. +Qed. + +Lemma test3 n (ngt0 : 0 < n) : P n. +gen have H : n ngt0 / (0 <= n) && (n != 0). + match goal with |- is_true((0 <= n) && (n != 0)) => myadmit end. +Check (H : forall n : nat, 0 < n -> (0 <= n) && (n != 0)). +myadmit. +Qed. + +Lemma test4 n (ngt0 : 0 < n) : P n. +gen have : n ngt0 / (0 <= n) && (n != 0). + match goal with |- is_true((0 <= n) && (n != 0)) => myadmit end. +move=> H. +Check(H : forall n : nat, 0 < n -> (0 <= n) && (n != 0)). +myadmit. +Qed. + +Lemma test4bis n (ngt0 : 0 < n) : P n. +wlog suff : n ngt0 / (0 <= n) && (n != 0); last first. + match goal with |- is_true((0 <= n) && (n != 0)) => myadmit end. +move=> H. +Check(H : forall n : nat, 0 < n -> (0 <= n) && (n != 0)). +myadmit. +Qed. + +Lemma test5 n (ngt0 : 0 < n) : P n. +Fail gen have : / (0 <= n) && (n != 0). +Abort. + +Lemma test6 n (ngt0 : 0 < n) : P n. +gen have : n ngt0 / (0 <= n) && (n != 0) by myadmit. +Abort. + +Lemma test7 n (ngt0 : 0 < n) : P n. +Fail gen have : n / (0 <= n) && (n != 0). +Abort. + +Lemma test3wlog2 n (ngt0 : 0 < n) : P n. +gen have H : (m := n) ngt0 / (0 <= m) && (m != 0). + match goal with + ngt0 : is_true(0 < m) |- is_true((0 <= m) && (m != 0)) => myadmit end. +Check (H : forall n : nat, 0 < n -> (0 <= n) && (n != 0)). +myadmit. +Qed. + +Lemma test3wlog3 n (ngt0 : 0 < n) : P n. +gen have H : {n} (m := n) (n := 0) ngt0 / (0 <= m) && (m != n). + match goal with + ngt0 : is_true(n < m) |- is_true((0 <= m) && (m != n)) => myadmit end. +Check (H : forall m n : nat, n < m -> (0 <= m) && (m != n)). +myadmit. +Qed. + +Lemma testw1 n (ngt0 : 0 < n) : n <= 0. +wlog H : (z := 0) (m := n) ngt0 / m != 0. + match goal with + |- (forall z m, + is_true(z < m) -> is_true(m != 0) -> is_true(m <= z)) -> + is_true(n <= 0) => myadmit end. +Check(n : nat). +Check(m : nat). +Check(z : nat). +Check(ngt0 : z < m). +Check(H : m != 0). +myadmit. +Qed. + +Lemma testw2 n (ngt0 : 0 < n) : n <= 0. +wlog H : (m := n) (z := (X in n <= X)) ngt0 / m != z. + match goal with + |- (forall m z : nat, + is_true(0 < m) -> is_true(m != z) -> is_true(m <= z)) -> + is_true(n <= 0) => idtac end. +Restart. +wlog H : (m := n) (one := (X in X <= _)) ngt0 / m != one. + match goal with + |- (forall m one : nat, + is_true(one <= m) -> is_true(m != one) -> is_true(m <= 0)) -> + is_true(n <= 0) => idtac end. +Restart. +wlog H : {n} (m := n) (z := (X in _ <= X)) ngt0 / m != z. + match goal with + |- (forall m z : nat, + is_true(0 < z) -> is_true(m != z) -> is_true(m <= 0)) -> + is_true(n <= 0) => idtac end. + myadmit. +Fail Check n. +myadmit. +Qed. + +Section Test. +Variable x : nat. +Definition addx y := y + x. + +Lemma testw3 (m n : nat) (ngt0 : 0 < n) : n <= addx x. +wlog H : (n0 := n) (y := x) (@twoy := (id _ as X in _ <= X)) / twoy = 2 * y. + myadmit. +myadmit. +Qed. + + +Definition twox := x + x. +Definition bis := twox. + +Lemma testw3x n (ngt0 : 0 < n) : n + x <= twox. +wlog H : (y := x) (@twoy := (X in _ <= X)) / twoy = 2 * y. + match goal with + |- (forall y : nat, + let twoy := y + y in + twoy = 2 * y -> is_true(n + y <= twoy)) -> + is_true(n + x <= twox) => myadmit end. +Restart. +wlog H : (y := x) (@twoy := (id _ as X in _ <= X)) / twoy = 2 * y. + match goal with + |- (forall y : nat, + let twoy := twox in + twoy = 2 * y -> is_true(n + y <= twoy)) -> + is_true(n + x <= twox) => myadmit end. +myadmit. +Qed. + +End Test. + +Lemma test_in n k (def_k : k = 0) (ngtk : k < n) : P n. +rewrite -(add0n n) in {def_k k ngtk} (m := k) (def_m := def_k) (ngtm := ngtk). +rewrite def_m add0n in {ngtm} (e := erefl 0 ) (ngt0 := ngtm) => {def_m}. +myadmit. +Qed. diff --git a/test-suite/ssr/gen_pattern.v b/test-suite/ssr/gen_pattern.v new file mode 100644 index 0000000000..c0592e8843 --- /dev/null +++ b/test-suite/ssr/gen_pattern.v @@ -0,0 +1,33 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Notation "( a 'in' c )" := (a + c) (only parsing) : myscope. +Delimit Scope myscope with myscope. + +Notation "( a 'in' c )" := (a + c) (only parsing). + +Lemma foo x y : x + x.+1 = x.+1 + y. +move: {x} (x.+1) {1}x y (x.+1 in RHS). + match goal with |- forall a b c d, b + a = d + c => idtac end. +Admitted. + +Lemma bar x y : x + x.+1 = x.+1 + y. +move E: ((x.+1 in y)) => w. + match goal with |- x + x.+1 = w => rewrite -{w}E end. +move E: (x.+1 in y)%myscope => w. + match goal with |- x + x.+1 = w => rewrite -{w}E end. +move E: ((x + y).+1 as RHS) => w. + match goal with |- x + x.+1 = w => rewrite -{}E -addSn end. +Admitted. diff --git a/test-suite/ssr/have_TC.v b/test-suite/ssr/have_TC.v new file mode 100644 index 0000000000..b3a26ed2c2 --- /dev/null +++ b/test-suite/ssr/have_TC.v @@ -0,0 +1,50 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + +Axiom daemon : False. Ltac myadmit := case: daemon. + +Class foo (T : Type) := { n : nat }. +Instance five : foo nat := {| n := 5 |}. + +Definition bar T {f : foo T} m : Prop := + @n _ f = m. + +Eval compute in (bar nat 7). + +Lemma a : True. +set toto := bar _ 8. +have titi : bar _ 5. + reflexivity. +have titi2 : bar _ 5 := . + Fail reflexivity. + by myadmit. +have totoc (H : bar _ 5) : 3 = 3 := eq_refl. +move/totoc: nat => _. +exact I. +Qed. + +Set SsrHave NoTCResolution. + +Lemma a' : True. +set toto := bar _ 8. +have titi : bar _ 5. + Fail reflexivity. + by myadmit. +have titi2 : bar _ 5 := . + Fail reflexivity. + by myadmit. +have totoc (H : bar _ 5) : 3 = 3 := eq_refl. +move/totoc: nat => _. +exact I. +Qed. diff --git a/test-suite/ssr/have_transp.v b/test-suite/ssr/have_transp.v new file mode 100644 index 0000000000..1c998da71b --- /dev/null +++ b/test-suite/ssr/have_transp.v @@ -0,0 +1,48 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrfun ssrbool TestSuite.ssr_mini_mathcomp. + + +Lemma test1 n : n >= 0. +Proof. +have [:s1] @h m : 'I_(n+m).+1. + apply: Sub 0 _. + abstract: s1 m. + by auto. +cut (forall m, 0 < (n+m).+1); last assumption. +rewrite [_ 1 _]/= in s1 h *. +by []. +Qed. + +Lemma test2 n : n >= 0. +Proof. +have [:s1] @h m : 'I_(n+m).+1 := Sub 0 (s1 m). + move=> m; reflexivity. +cut (forall m, 0 < (n+m).+1); last assumption. +by []. +Qed. + +Lemma test3 n : n >= 0. +Proof. +Fail have [:s1] @h m : 'I_(n+m).+1 by apply: (Sub 0 (s1 m)); auto. +have [:s1] @h m : 'I_(n+m).+1 by apply: (Sub 0); abstract: s1 m; auto. +cut (forall m, 0 < (n+m).+1); last assumption. +by []. +Qed. + +Lemma test4 n : n >= 0. +Proof. +have @h m : 'I_(n+m).+1 by apply: (Sub 0); abstract auto. +by []. +Qed. diff --git a/test-suite/ssr/have_view_idiom.v b/test-suite/ssr/have_view_idiom.v new file mode 100644 index 0000000000..3d6c9d9802 --- /dev/null +++ b/test-suite/ssr/have_view_idiom.v @@ -0,0 +1,18 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. + +Lemma test (a b : bool) (pab : a && b) : b. +have {pab} /= /andP [pa -> //] /= : true && (a && b) := pab. +Qed. diff --git a/test-suite/ssr/havesuff.v b/test-suite/ssr/havesuff.v new file mode 100644 index 0000000000..aa1f71879e --- /dev/null +++ b/test-suite/ssr/havesuff.v @@ -0,0 +1,85 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Variables P G : Prop. + +Lemma test1 : (P -> G) -> P -> G. +Proof. +move=> pg p. +have suff {pg} H : P. + match goal with |- P -> G => move=> _; exact: pg p | _ => fail end. +match goal with H : P -> G |- G => exact: H p | _ => fail end. +Qed. + +Lemma test2 : (P -> G) -> P -> G. +Proof. +move=> pg p. +have suffices {pg} H : P. + match goal with |- P -> G => move=> _; exact: pg p | _ => fail end. +match goal with H : P -> G |- G => exact: H p | _ => fail end. +Qed. + +Lemma test3 : (P -> G) -> P -> G. +Proof. +move=> pg p. +suff have {pg} H : P. + match goal with H : P |- G => exact: pg H | _ => fail end. +match goal with |- (P -> G) -> G => move=> H; exact: H p | _ => fail end. +Qed. + +Lemma test4 : (P -> G) -> P -> G. +Proof. +move=> pg p. +suffices have {pg} H: P. + match goal with H : P |- G => exact: pg H | _ => fail end. +match goal with |- (P -> G) -> G => move=> H; exact: H p | _ => fail end. +Qed. + +(* +Lemma test5 : (P -> G) -> P -> G. +Proof. +move=> pg p. +suff have {pg} H : P := pg H. +match goal with |- (P -> G) -> G => move=> H; exact: H p | _ => fail end. +Qed. +*) + +(* +Lemma test6 : (P -> G) -> P -> G. +Proof. +move=> pg p. +suff have {pg} H := pg H. +match goal with |- (P -> G) -> G => move=> H; exact: H p | _ => fail end. +Qed. +*) + +Lemma test7 : (P -> G) -> P -> G. +Proof. +move=> pg p. +have suff {pg} H : P := pg. +match goal with H : P -> G |- G => exact: H p | _ => fail end. +Qed. + +Lemma test8 : (P -> G) -> P -> G. +Proof. +move=> pg p. +have suff {pg} H := pg. +match goal with H : P -> G |- G => exact: H p | _ => fail end. +Qed. + +Goal forall x y : bool, x = y -> x = y. +move=> x y E. +by have {x E} -> : x = y by []. +Qed. diff --git a/test-suite/ssr/if_isnt.v b/test-suite/ssr/if_isnt.v new file mode 100644 index 0000000000..b8f6b77391 --- /dev/null +++ b/test-suite/ssr/if_isnt.v @@ -0,0 +1,22 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Definition unopt (x : option bool) := + if x isn't Some x then false else x. + +Lemma test1 : unopt None = false /\ + unopt (Some false) = false /\ + unopt (Some true) = true. +Proof. by auto. Qed. diff --git a/test-suite/ssr/intro_beta.v b/test-suite/ssr/intro_beta.v new file mode 100644 index 0000000000..8a164bd809 --- /dev/null +++ b/test-suite/ssr/intro_beta.v @@ -0,0 +1,25 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Axiom T : Type. + +Definition C (P : T -> Prop) := forall x, P x. + +Axiom P : T -> T -> Prop. + +Lemma foo : C (fun x => forall y, let z := x in P y x). +move=> a b. +match goal with |- (let y := _ in _) => idtac end. +Admitted. diff --git a/test-suite/ssr/intro_noop.v b/test-suite/ssr/intro_noop.v new file mode 100644 index 0000000000..fdc85173a8 --- /dev/null +++ b/test-suite/ssr/intro_noop.v @@ -0,0 +1,37 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. +Axiom daemon : False. Ltac myadmit := case: daemon. + +Lemma v : True -> bool -> bool. Proof. by []. Qed. + +Reserved Notation " a -/ b " (at level 0). +Reserved Notation " a -// b " (at level 0). +Reserved Notation " a -/= b " (at level 0). +Reserved Notation " a -//= b " (at level 0). + +Lemma test : forall a b c, a || b || c. +Proof. +move=> ---a--- - -/=- -//- -/=- -//=- b [|-]. +move: {-}a => /v/v-H; have _ := H I I. +Fail move: {-}a {H} => /v-/v-H. +have - -> : a = (id a) by []. +have --> : a = (id a) by []. +have - - _ : a = (id a) by []. +have -{1}-> : a = (id a) by []. + by myadmit. +move: a. +case: b => -[] //. +by myadmit. +Qed. diff --git a/test-suite/ssr/ipatalternation.v b/test-suite/ssr/ipatalternation.v new file mode 100644 index 0000000000..6aa9a954c8 --- /dev/null +++ b/test-suite/ssr/ipatalternation.v @@ -0,0 +1,18 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Lemma test1 : Prop -> Prop -> Prop -> Prop -> Prop -> True = False -> Prop -> True \/ True. +by move=> A /= /= /= B C {A} {B} ? _ {C} {1}-> *; right. +Qed. diff --git a/test-suite/ssr/ltac_have.v b/test-suite/ssr/ltac_have.v new file mode 100644 index 0000000000..380e52af40 --- /dev/null +++ b/test-suite/ssr/ltac_have.v @@ -0,0 +1,39 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Ltac SUFF1 h t := suff h x (p := x < 0) : t. +Ltac SUFF2 h t := suff h x (p := x < 0) : t by apply h. +Ltac HAVE1 h t u := have h x (p := x < 0) : t := u. +Ltac HAVE2 h t := have h x (p := x < 0) : t by []. +Ltac HAVE3 h t := have h x (p := x < 0) : t. +Ltac HAVES h t := have suff h : t. +Ltac SUFFH h t := suff have h : t. + +Lemma foo z : z < 0. +SUFF1 h1 (z+1 < 0). +Undo. +SUFF2 h2 (z < 0). +Undo. +HAVE1 h3 (z = z) (refl_equal z). +Undo. +HAVE2 h4 (z = z). +Undo. +HAVE3 h5 (z < 0). +Undo. +HAVES h6 (z < 1). +Undo. +SUFFH h7 (z < 1). +Undo. +Admitted. diff --git a/test-suite/ssr/ltac_in.v b/test-suite/ssr/ltac_in.v new file mode 100644 index 0000000000..bcdf96dded --- /dev/null +++ b/test-suite/ssr/ltac_in.v @@ -0,0 +1,26 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Set Implicit Arguments. +Unset Strict Implicit. +Import Prenex Implicits. + +(* error 1 *) + +Ltac subst1 H := move: H; rewrite {1} addnC; move => H. +Ltac subst2 H := rewrite addnC in H. + +Goal ( forall a b: nat, b+a = 0 -> b+a=0). +Proof. move=> a b hyp. subst1 hyp. subst2 hyp. done. Qed. diff --git a/test-suite/ssr/move_after.v b/test-suite/ssr/move_after.v new file mode 100644 index 0000000000..a7a9afea07 --- /dev/null +++ b/test-suite/ssr/move_after.v @@ -0,0 +1,19 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Goal True -> True -> True. +move=> H1 H2. +move H1 after H2. +Admitted. diff --git a/test-suite/ssr/multiview.v b/test-suite/ssr/multiview.v new file mode 100644 index 0000000000..f4e717b384 --- /dev/null +++ b/test-suite/ssr/multiview.v @@ -0,0 +1,58 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Goal forall m n p, n <= p -> m <= n -> m <= p. +by move=> m n p le_n_p /leq_trans; apply. +Undo 1. +by move=> m n p le_n_p /leq_trans /(_ le_n_p) le_m_p; exact: le_m_p. +Undo 1. +by move=> m n p le_n_p /leq_trans ->. +Qed. + +Goal forall P Q X : Prop, Q -> (True -> X -> Q = P) -> X -> P. +by move=> P Q X q V /V <-. +Qed. + +Lemma test0: forall a b, a && a && b -> b. +by move=> a b; repeat move=> /andP []; move=> *. +Qed. + +Lemma test1 : forall a b, a && b -> b. +by move=> a b /andP /andP /andP [] //. +Qed. + +Lemma test2 : forall a b, a && b -> b. +by move=> a b /andP /andP /(@andP a) [] //. +Qed. + +Lemma test3 : forall a b, a && (b && b) -> b. +by move=> a b /andP [_ /andP [_ //]]. +Qed. + +Lemma test4: forall a b, a && b = b && a. +by move=> a b; apply/andP/andP=> ?; apply/andP/andP/andP; rewrite andbC; apply/andP. +Qed. + +Lemma test5: forall C I A O, (True -> O) -> (O -> A) -> (True -> A -> I) -> (I -> C) -> C. +by move=> c i a o O A I C; apply/C/I/A/O. +Qed. + +Lemma test6: forall A B, (A -> B) -> A -> B. +move=> A B A_to_B a; move/A_to_B in a; exact: a. +Qed. + +Lemma test7: forall A B, (A -> B) -> A -> B. +move=> A B A_to_B a; apply A_to_B in a; exact: a. +Qed. diff --git a/test-suite/ssr/occarrow.v b/test-suite/ssr/occarrow.v new file mode 100644 index 0000000000..49af7ae08a --- /dev/null +++ b/test-suite/ssr/occarrow.v @@ -0,0 +1,23 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import TestSuite.ssr_mini_mathcomp. + +Lemma test1 : forall n m : nat, n = m -> m * m + n * n = n * n + n * n. +move=> n m E; have [{2}-> _] : n * n = m * n /\ True by move: E => {1}<-. +by move: E => {3}->. +Qed. + +Lemma test2 : forall n m : nat, True /\ (n = m -> n * n = n * m). +by move=> n m; constructor=> [|{2}->]. +Qed. diff --git a/test-suite/ssr/patnoX.v b/test-suite/ssr/patnoX.v new file mode 100644 index 0000000000..d69f03ac3d --- /dev/null +++ b/test-suite/ssr/patnoX.v @@ -0,0 +1,18 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. +Goal forall x, x && true = x. +move=> x. +Fail (rewrite [X in _ && _]andbT). +Abort. diff --git a/test-suite/ssr/pattern.v b/test-suite/ssr/pattern.v new file mode 100644 index 0000000000..396f4f032c --- /dev/null +++ b/test-suite/ssr/pattern.v @@ -0,0 +1,32 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +Require Import ssrmatching. + +(*Set Debug SsrMatching.*) + +Tactic Notation "at" "[" ssrpatternarg(pat) "]" tactic(t) := + let name := fresh in + let def_name := fresh in + ssrpattern pat; + intro name; + pose proof (refl_equal name) as def_name; + unfold name at 1 in def_name; + t def_name; + [ rewrite <- def_name | idtac.. ]; + clear name def_name. + +Lemma test (H : True -> True -> 3 = 7) : 28 = 3 * 4. +Proof. +at [ X in X * 4 ] ltac:(fun place => rewrite -> H in place). +- reflexivity. +- trivial. +- trivial. +Qed. diff --git a/test-suite/ssr/primproj.v b/test-suite/ssr/primproj.v new file mode 100644 index 0000000000..cf61eb4363 --- /dev/null +++ b/test-suite/ssr/primproj.v @@ -0,0 +1,164 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + + + +Require Import Setoid. +Set Primitive Projections. + + +Module CoqBug. +Record foo A := Foo { foo_car : A }. + +Definition bar : foo _ := Foo nat 10. + +Variable alias : forall A, foo A -> A. + +Parameter e : @foo_car = alias. + +Goal foo_car _ bar = alias _ bar. +Proof. +(* Coq equally fails *) +Fail rewrite -> e. +Fail rewrite e at 1. +Fail setoid_rewrite e. +Fail setoid_rewrite e at 1. +Set Keyed Unification. +Fail rewrite -> e. +Fail rewrite e at 1. +Fail setoid_rewrite e. +Fail setoid_rewrite e at 1. +Admitted. + +End CoqBug. + +(* ----------------------------------------------- *) +Require Import ssreflect. + +Set Primitive Projections. + +Module T1. + +Record foo A := Foo { foo_car : A }. + +Definition bar : foo _ := Foo nat 10. + +Goal foo_car _ bar = 10. +Proof. +match goal with +| |- foo_car _ bar = 10 => idtac +end. +rewrite /foo_car. +(* +Fail match goal with +| |- foo_car _ bar = 10 => idtac +end. +*) +Admitted. + +End T1. + + +Module T2. + +Record foo {A} := Foo { foo_car : A }. + +Definition bar : foo := Foo nat 10. + +Goal foo_car bar = 10. +match goal with +| |- foo_car bar = 10 => idtac +end. +rewrite /foo_car. +(* +Fail match goal with +| |- foo_car bar = 10 => idtac +end. +*) +Admitted. + +End T2. + + +Module T3. + +Record foo {A} := Foo { foo_car : A }. + +Definition bar : foo := Foo nat 10. + +Goal foo_car bar = 10. +Proof. +rewrite -[foo_car _]/(id _). +match goal with |- id _ = 10 => idtac end. +Admitted. + +Goal foo_car bar = 10. +Proof. +set x := foo_car _. +match goal with |- x = 10 => idtac end. +Admitted. + +End T3. + +Module T4. + +Inductive seal {A} (f : A) := { unseal : A; seal_eq : unseal = f }. +Arguments unseal {_ _} _. +Arguments seal_eq {_ _} _. + +Record uPred : Type := IProp { uPred_holds :> Prop }. + +Definition uPred_or_def (P Q : uPred) : uPred := + {| uPred_holds := P \/ Q |}. +Definition uPred_or_aux : seal (@uPred_or_def). by eexists. Qed. +Definition uPred_or := unseal uPred_or_aux. +Definition uPred_or_eq: @uPred_or = @uPred_or_def := seal_eq uPred_or_aux. + +Lemma foobar (P1 P2 Q : uPred) : + (P1 <-> P2) -> (uPred_or P1 Q) <-> (uPred_or P2 Q). +Proof. + rewrite uPred_or_eq. (* This fails. *) +Admitted. + +End T4. + + +Module DesignFlaw. + +Record foo A := Foo { foo_car : A }. +Definition bar : foo _ := Foo nat 10. + +Definition app (f : foo nat -> nat) x := f x. + +Goal app (foo_car _) bar = 10. +Proof. +unfold app. (* mkApp should produce a Proj *) +Fail set x := (foo_car _ _). +Admitted. + +End DesignFlaw. + + +Module Bug. + +Record foo A := Foo { foo_car : A }. + +Definition bar : foo _ := Foo nat 10. + +Variable alias : forall A, foo A -> A. + +Parameter e : @foo_car = alias. + +Goal foo_car _ bar = alias _ bar. +Proof. +Fail rewrite e. (* Issue: #86 *) +Admitted. + +End Bug. diff --git a/test-suite/ssr/rewpatterns.v b/test-suite/ssr/rewpatterns.v new file mode 100644 index 0000000000..f7993f402d --- /dev/null +++ b/test-suite/ssr/rewpatterns.v @@ -0,0 +1,146 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + + +Require Import ssreflect. +Require Import ssrbool ssrfun TestSuite.ssr_mini_mathcomp. + +Lemma test1 : forall x y (f : nat -> nat), f (x + y).+1 = f (y + x.+1). +by move=> x y f; rewrite [_.+1](addnC x.+1). +Qed. + +Lemma test2 : forall x y f, x + y + f (y + x) + f (y + x) = x + y + f (y + x) + f (x + y). +by move=> x y f; rewrite {2}[in f _]addnC. +Qed. + +Lemma test2' : forall x y f, true && f (x * (y + x)) = true && f(x * (x + y)). +by move=> x y f; rewrite [in f _](addnC y). +Qed. + +Lemma test2'' : forall x y f, f (y + x) + f(y + x) + f(y + x) = f(x + y) + f(y + x) + f(x + y). +by move=> x y f; rewrite {1 3}[in f _](addnC y). +Qed. + +(* patterns catching bound vars not supported *) +Lemma test2_1 : forall x y f, true && (let z := x in f (z * (y + x))) = true && f(x * (x + y)). +by move=> x y f; rewrite [in f _](addnC x). (* put y when bound var will be OK *) +Qed. + +Lemma test3 : forall x y f, x + f (x + y) (f (y + x) x) = x + f (x + y) (f (x + y) x). +by move=> x y f; rewrite [in X in (f _ X)](addnC y). +Qed. + +Lemma test3' : forall x y f, x = y -> x + f (x + x) x + f (x + x) x = + x + f (x + y) x + f (y + x) x. +by move=> x y f E; rewrite {2 3}[in X in (f X _)]E. +Qed. + +Lemma test3'' : forall x y f, x = y -> x + f (x + y) x + f (x + y) x = + x + f (x + y) x + f (y + y) x. +by move=> x y f E; rewrite {2}[in X in (f X _)]E. +Qed. + +Lemma test4 : forall x y f, x = y -> x + f (fun _ : nat => x + x) x + f (fun _ => x + x) x = + x + f (fun _ => x + y) x + f (fun _ => y + x) x. +by move=> x y f E; rewrite {2 3}[in X in (f X _)]E. +Qed. + +Lemma test4' : forall x y f, x = y -> x + f (fun _ _ _ : nat => x + x) x = + x + f (fun _ _ _ => x + y) x. +by move=> x y f E; rewrite {2}[in X in (f X _)]E. +Qed. + +Lemma test5 : forall x y f, x = y -> x + f (y + x) x + f (y + x) x = + x + f (x + y) x + f (y + x) x. +by move=> x y f E; rewrite {1}[X in (f X _)]addnC. +Qed. + +Lemma test3''' : forall x y f, x = y -> x + f (x + y) x + f (x + y) (x + y) = + x + f (x + y) x + f (y + y) (x + y). +by move=> x y f E; rewrite {1}[in X in (f X X)]E. +Qed. + +Lemma test3'''' : forall x y f, x = y -> x + f (x + y) x + f (x + y) (x + y) = + x + f (x + y) x + f (y + y) (y + y). +by move=> x y f E; rewrite [in X in (f X X)]E. +Qed. + +Lemma test3x : forall x y f, y+y = x+y -> x + f (x + y) x + f (x + y) (x + y) = + x + f (x + y) x + f (y + y) (y + y). +by move=> x y f E; rewrite -[X in (f X X)]E. +Qed. + +Lemma test6 : forall x y (f : nat -> nat), f (x + y).+1 = f (y.+1 + x). +by move=> x y f; rewrite [(x + y) in X in (f X)]addnC. +Qed. + +Lemma test7 : forall x y (f : nat -> nat), f (x + y).+1 = f (y + x.+1). +by move=> x y f; rewrite [(x.+1 + y) as X in (f X)]addnC. +Qed. + +Lemma manual x y z (f : nat -> nat -> nat) : (x + y).+1 + f (x.+1 + y) (z + (x + y).+1) = 0. +Proof. +rewrite [in f _]addSn. +match goal with |- (x + y).+1 + f (x + y).+1 (z + (x + y).+1) = 0 => idtac end. +rewrite -[X in _ = X]addn0. +match goal with |- (x + y).+1 + f (x + y).+1 (z + (x + y).+1) = 0 + 0 => idtac end. +rewrite -{2}[in X in _ = X](addn0 0). +match goal with |- (x + y).+1 + f (x + y).+1 (z + (x + y).+1) = 0 + (0 + 0) => idtac end. +rewrite [_.+1 in X in f _ X](addnC x.+1). +match goal with |- (x + y).+1 + f (x + y).+1 (z + (y + x.+1)) = 0 + (0 + 0) => idtac end. +rewrite [x.+1 + y as X in f X _]addnC. +match goal with |- (x + y).+1 + f (y + x.+1) (z + (y + x.+1)) = 0 + (0 + 0) => idtac end. +Admitted. + +Goal (exists x : 'I_3, x > 0). +apply: (ex_intro _ (@Ordinal _ 2 _)). +Admitted. + +Goal (forall y, 1 < y < 2 -> exists x : 'I_3, x > 0). +move=> y; case/andP=> y_gt1 y_lt2; apply: (ex_intro _ (@Ordinal _ y _)). + by apply: leq_trans y_lt2 _. +by move=> y_lt3; apply: leq_trans _ y_gt1. +Qed. + +Goal (forall x y : nat, forall P : nat -> Prop, x = y -> True). +move=> x y P E. +have: P x -> P y by suff: x = y by move=> ?; congr (P _). +Admitted. + +Goal forall a : bool, a -> true && a || false && a. +by move=> a ?; rewrite [true && _]/= [_ && a]/= orbC [_ || _]//=. +Qed. + +Goal forall a : bool, a -> true && a || false && a. +by move=> a ?; rewrite [X in X || _]/= [X in _ || X]/= orbC [false && a as X in X || _]//=. +Qed. + +Variable a : bool. +Definition f x := x || a. +Definition g x := f x. + +Goal a -> g false. +by move=> Ha; rewrite [g _]/f orbC Ha. +Qed. + +Goal a -> g false || g false. +move=> Ha; rewrite {2}[g _]/f orbC Ha. +match goal with |- (is_true (false || true || g false)) => done end. +Qed. + +Goal a -> (a && a || true && a) && true. +by move=> Ha; rewrite -[_ || _]/(g _) andbC /= Ha [g _]/f. +Qed. + +Goal a -> (a || a) && true. +by move=> Ha; rewrite -[in _ || _]/(f _) Ha andbC /f. +Qed. diff --git a/test-suite/ssr/set_lamda.v b/test-suite/ssr/set_lamda.v new file mode 100644 index 0000000000..a012ec680b --- /dev/null +++ b/test-suite/ssr/set_lamda.v @@ -0,0 +1,27 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool ssrfun. +Require Import TestSuite.ssr_mini_mathcomp. + +Set Implicit Arguments. +Unset Strict Implicit. +Import Prenex Implicits. + +(* error 2 *) + +Goal (exists f: Set -> nat, f nat = 0). +Proof. set (f:= fun _:Set =>0). by exists f. Qed. + +Goal (exists f: Set -> nat, f nat = 0). +Proof. set f := (fun _:Set =>0). by exists f. Qed. diff --git a/test-suite/ssr/set_pattern.v b/test-suite/ssr/set_pattern.v new file mode 100644 index 0000000000..3ce75e879e --- /dev/null +++ b/test-suite/ssr/set_pattern.v @@ -0,0 +1,64 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + +Axiom daemon : False. Ltac myadmit := case: daemon. + +Ltac T1 x := match goal with |- _ => set t := (x in X in _ = X) end. +Ltac T2 x := first [set t := (x in RHS)]. +Ltac T3 x := first [set t := (x in Y in _ = Y)|idtac]. +Ltac T4 x := set t := (x in RHS); idtac. +Ltac T5 x := match goal with |- _ => set t := (x in RHS) | |- _ => idtac end. + +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Open Scope nat_scope. + +Lemma foo x y : x.+1 = y + x.+1. +set t := (_.+1 in RHS). match goal with |- x.+1 = y + t => rewrite /t {t} end. +set t := (x in RHS). match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t := (x in _ = x). match goal with |- x.+1 = t => rewrite /t {t} end. +set t := (x in X in _ = X). + match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t := (x in RHS). match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t := (y + (1 + x) as X in _ = X). + match goal with |- x.+1 = t => rewrite /t addSn add0n {t} end. +set t := x.+1. match goal with |- t = y + t => rewrite /t {t} end. +set t := (x).+1. match goal with |- t = y + t => rewrite /t {t} end. +set t := ((x).+1 in X in _ = X). + match goal with |- x.+1 = y + t => rewrite /t {t} end. +set t := (x.+1 in RHS). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T1 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T2 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T3 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T4 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T5 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +rewrite [RHS]addnC. + match goal with |- x.+1 = x.+1 + y => rewrite -[RHS]addnC end. +rewrite -[in RHS](@subnK 1 x.+1) //. + match goal with |- x.+1 = y + (x.+1 - 1 + 1) => rewrite subnK // end. +have H : x.+1 = y by myadmit. +set t := _.+1 in H |- *. + match goal with H : t = y |- t = y + t => rewrite /t {t} in H * end. +set t := (_.+1 in X in _ + X) in H |- *. + match goal with H : x.+1 = y |- x.+1 = y + t => rewrite /t {t} in H * end. +set t := 0. match goal with t := 0 |- x.+1 = y + x.+1 => clear t end. +set t := y + _. match goal with |- x.+1 = t => rewrite /t {t} end. +set t : nat := 0. clear t. +set t : nat := (x in RHS). + match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t : nat := RHS. match goal with |- x.+1 = t => rewrite /t {t} end. +(* set t := 0 + _. *) +(* set t := (x).+1 in X in _ + X in H |-. *) +(* set t := (x).+1 in X in _ = X.*) +Admitted. diff --git a/test-suite/ssr/ssrsyntax2.v b/test-suite/ssr/ssrsyntax2.v new file mode 100644 index 0000000000..af839fabdb --- /dev/null +++ b/test-suite/ssr/ssrsyntax2.v @@ -0,0 +1,20 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import TestSuite.ssr_ssrsyntax1. +Require Import Arith. + +Goal (forall a b, a + b = b + a). +intros. +rewrite plus_comm, plus_comm. +split. +Qed. diff --git a/test-suite/ssr/tc.v b/test-suite/ssr/tc.v new file mode 100644 index 0000000000..ae4589ef30 --- /dev/null +++ b/test-suite/ssr/tc.v @@ -0,0 +1,39 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + + +Class foo (A : Type) : Type := mkFoo { val : A }. +Instance foo_pair {A B} {f1 : foo A} {f2 : foo B} : foo (A * B) | 2 := + {| val := (@val _ f1, @val _ f2) |}. +Instance foo_nat : foo nat | 3 := {| val := 0 |}. + +Definition id {A} (x : A) := x. +Axiom E : forall A {f : foo A} (a : A), id a = (@val _ f). + +Lemma test (x : nat) : id true = true -> id x = 0. +Proof. +Fail move=> _; reflexivity. +Timeout 2 rewrite E => _; reflexivity. +Qed. + +Definition P {A} (x : A) : Prop := x = x. +Axiom V : forall A {f : foo A} (x:A), P x -> P (id x). + +Lemma test1 (x : nat) : P x -> P (id x). +Proof. +move=> px. +Timeout 2 Fail move/V: px. +Timeout 2 move/V : (px) => _. +move/(V nat) : px => H; exact H. +Qed. diff --git a/test-suite/ssr/typeof.v b/test-suite/ssr/typeof.v new file mode 100644 index 0000000000..ca121fdb31 --- /dev/null +++ b/test-suite/ssr/typeof.v @@ -0,0 +1,22 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. + +Ltac mycut x := + let tx := type of x in + cut tx. + +Lemma test : True. +Proof. +by mycut I=> [ x | ]; [ exact x | exact I ]. +Qed. diff --git a/test-suite/ssr/unfold_Opaque.v b/test-suite/ssr/unfold_Opaque.v new file mode 100644 index 0000000000..7c2b51de48 --- /dev/null +++ b/test-suite/ssr/unfold_Opaque.v @@ -0,0 +1,18 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +Require Import ssreflect. + +Definition x := 3. +Opaque x. + +Goal x = 3. +Fail rewrite /x. +Admitted. diff --git a/test-suite/ssr/unkeyed.v b/test-suite/ssr/unkeyed.v new file mode 100644 index 0000000000..710941c307 --- /dev/null +++ b/test-suite/ssr/unkeyed.v @@ -0,0 +1,31 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrfun ssrbool TestSuite.ssr_mini_mathcomp. + +Set Implicit Arguments. +Unset Strict Implicit. +Import Prenex Implicits. + +Lemma test0 (a b : unit) f : a = f b. +Proof. by rewrite !unitE. Qed. + +Lemma phE T : all_equal_to (Phant T). Proof. by case. Qed. + +Lemma test1 (a b : phant nat) f : a = f b. +Proof. by rewrite !phE. Qed. + +Lemma eq_phE (T : eqType) : all_equal_to (Phant T). Proof. by case. Qed. + +Lemma test2 (a b : phant bool) f : a = locked (f b). +Proof. by rewrite !eq_phE. Qed. diff --git a/test-suite/ssr/view_case.v b/test-suite/ssr/view_case.v new file mode 100644 index 0000000000..2721470c44 --- /dev/null +++ b/test-suite/ssr/view_case.v @@ -0,0 +1,31 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Axiom P : forall T, seq T -> Prop. + +Goal (forall T (s : seq T), P _ s). +move=> T s. +elim: s => [| x /lastP [| s] IH]. +Admitted. + +Goal forall x : 'I_1, x = 0 :> nat. +move=> /ord1 -> /=; exact: refl_equal. +Qed. + +Goal forall x : 'I_1, x = 0 :> nat. +move=> x. +move=> /ord1 -> in x |- *. +exact: refl_equal. +Qed. diff --git a/test-suite/ssr/wlog_suff.v b/test-suite/ssr/wlog_suff.v new file mode 100644 index 0000000000..43a8f3b8b7 --- /dev/null +++ b/test-suite/ssr/wlog_suff.v @@ -0,0 +1,28 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. + +Lemma test b : b || ~~b. +wlog _ : b / b = true. + case: b; [ by apply | by rewrite orbC ]. +wlog suff: b / b || ~~b. + by case: b. +by case: b. +Qed. + +Lemma test2 b c (H : c = b) : b || ~~b. +wlog _ : b {c H} / b = true. + by case: b H. +by case: b. +Qed. diff --git a/test-suite/ssr/wlogletin.v b/test-suite/ssr/wlogletin.v new file mode 100644 index 0000000000..64e1ea84f7 --- /dev/null +++ b/test-suite/ssr/wlogletin.v @@ -0,0 +1,50 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. +Require Import TestSuite.ssr_mini_mathcomp. + +Variable T : Type. +Variables P : T -> Prop. + +Definition f := fun x y : T => x. + +Lemma test1 : forall x y : T, P (f x y) -> P x. +Proof. +move=> x y; set fxy := f x y; move=> Pfxy. +wlog H : @fxy Pfxy / P x. + match goal with |- (let fxy0 := f x y in P fxy0 -> P x -> P x) -> P x => by auto | _ => fail end. +exact: H. +Qed. + +Lemma test2 : forall x y : T, P (f x y) -> P x. +Proof. +move=> x y; set fxy := f x y; move=> Pfxy. +wlog H : fxy Pfxy / P x. + match goal with |- (forall fxy, P fxy -> P x -> P x) -> P x => by auto | _ => fail end. +exact: H. +Qed. + +Lemma test3 : forall x y : T, P (f x y) -> P x. +Proof. +move=> x y; set fxy := f x y; move=> Pfxy. +move: {1}@fxy (Pfxy) (Pfxy). +match goal with |- (let fxy0 := f x y in P fxy0 -> P fxy -> P x) => by auto | _ => fail end. +Qed. + +Lemma test4 : forall n m z: bool, n = z -> let x := n in x = m && n -> x = m && n. +move=> n m z E x H. +case: true. + by rewrite {1 2}E in (x) H |- *. +by rewrite {1}E in x H |- *. +Qed. diff --git a/test-suite/ssr/wlong_intro.v b/test-suite/ssr/wlong_intro.v new file mode 100644 index 0000000000..dd80f04359 --- /dev/null +++ b/test-suite/ssr/wlong_intro.v @@ -0,0 +1,20 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) +(************************************************************************) + +(* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *) + +Require Import ssreflect. +Require Import ssrbool. +Require Import TestSuite.ssr_mini_mathcomp. + +Goal (forall x y : nat, True). +move=> x y. +wlog suff: x y / x <= y. +Admitted. diff --git a/test-suite/success/Inversion.v b/test-suite/success/Inversion.v index ca8da39482..ee540d7109 100644 --- a/test-suite/success/Inversion.v +++ b/test-suite/success/Inversion.v @@ -107,6 +107,7 @@ Goal forall o, foo2 o -> 0 = 1. intros. eapply trans_eq. inversion H. +Abort. (* Check that the part of "injection" that is called by "inversion" does the same number of intros as the number of equations @@ -136,6 +137,7 @@ Goal True -> True. intro. Fail inversion H using False. Fail inversion foo using True_ind. +Abort. (* Was failing at some time between 7 and 10 September 2014 *) (* even though, it is not clear that the resulting context is interesting *) diff --git a/test-suite/success/RecTutorial.v b/test-suite/success/RecTutorial.v index 29350d620e..6370cab6b2 100644 --- a/test-suite/success/RecTutorial.v +++ b/test-suite/success/RecTutorial.v @@ -589,6 +589,8 @@ Close Scope Z_scope. Theorem S_is_not_O : forall n, S n <> 0. +Set Nested Proofs Allowed. + Definition Is_zero (x:nat):= match x with | 0 => True | _ => False diff --git a/test-suite/success/ShowExtraction.v b/test-suite/success/ShowExtraction.v index e34c240c5d..a4a35003df 100644 --- a/test-suite/success/ShowExtraction.v +++ b/test-suite/success/ShowExtraction.v @@ -12,7 +12,7 @@ Fail Show Extraction. Lemma decListA : forall (xs ys : list A), {xs=ys}+{xs<>ys}. Proof. Show Extraction. -fix 1. +fix decListA 1. destruct xs as [|x xs], ys as [|y ys]. Show Extraction. - now left. diff --git a/test-suite/success/cc.v b/test-suite/success/cc.v index bbfe5ec420..49a8b9cf46 100644 --- a/test-suite/success/cc.v +++ b/test-suite/success/cc.v @@ -151,3 +151,17 @@ Section JLeivant. congruence. Qed. End JLeivant. + +(* An example with primitive projections *) + +Module PrimitiveProjections. +Set Primitive Projections. +Record t (A:Type) := { f : A }. +Goal forall g (a:t nat), @f nat = g -> f a = 0 -> g a = 0. +congruence. +Undo. +intros. +unfold f in H0. (* internally turn the projection to unfolded form *) +congruence. +Qed. +End PrimitiveProjections. diff --git a/test-suite/success/destruct.v b/test-suite/success/destruct.v index 6fbe61a9be..d1d384659b 100644 --- a/test-suite/success/destruct.v +++ b/test-suite/success/destruct.v @@ -422,6 +422,7 @@ Abort. Goal forall b:bool, b = b. intros. destruct b eqn:H. +Abort. (* Check natural instantiation behavior when the goal has already an evar *) diff --git a/test-suite/success/evars.v b/test-suite/success/evars.v index 5b13f35d57..253b48e4d9 100644 --- a/test-suite/success/evars.v +++ b/test-suite/success/evars.v @@ -421,3 +421,8 @@ Goal exists n : nat, n = n -> True. eexists. set (H := _ = _). Abort. + +(* Check interpretation of default evar instance in pretyping *) +(* (reported as bug #7356) *) + +Check fun (P : nat -> Prop) (x:nat) (h:P x) => exist _ ?[z] (h : P ?z). diff --git a/test-suite/success/goal_selector.v b/test-suite/success/goal_selector.v index 8681405175..0951c5c8d4 100644 --- a/test-suite/success/goal_selector.v +++ b/test-suite/success/goal_selector.v @@ -53,3 +53,17 @@ Goal True -> exists (x : Prop), x. Proof. intro H; eexists ?[x]; only [x]: exact True. 1: assumption. Qed. + +(* Strict focusing! *) +Set Default Goal Selector "!". + +Goal True -> True /\ True /\ True. +Proof. + intro. + split;only 2:split. + Fail exact I. + Fail !:exact I. + 1:exact I. + - !:exact H. + - exact I. +Qed. diff --git a/test-suite/success/intros.v b/test-suite/success/intros.v index a329894aad..d37ad9f528 100644 --- a/test-suite/success/intros.v +++ b/test-suite/success/intros.v @@ -127,4 +127,28 @@ induction 1 as (n,H,IH). exact Logic.I. Qed. +(* Make "intro"/"intros" progress on existential variables *) +Module Evar. + +Goal exists (A:Prop), A. +eexists. +unshelve (intro x). +- exact nat. +- exact (x=x). +- auto. +Qed. + +Goal exists (A:Prop), A. +eexists. +unshelve (intros x). +- exact nat. +- exact (x=x). +- auto. +Qed. + +Definition d := ltac:(intro x; exact (x*x)). + +Definition d' : nat -> _ := ltac:(intros;exact 0). + +End Evar. diff --git a/test-suite/success/name_mangling.v b/test-suite/success/name_mangling.v index 571dde8805..e982414206 100644 --- a/test-suite/success/name_mangling.v +++ b/test-suite/success/name_mangling.v @@ -122,8 +122,7 @@ Lemma a : forall n, n = 0. Proof. fix a 1. Check a. -fix 1. -Fail Check a0. +Fail fix a 1. Abort. (* Test stability of "induction" *) diff --git a/test-suite/success/refine.v b/test-suite/success/refine.v index 22fb4d7576..40986e57cb 100644 --- a/test-suite/success/refine.v +++ b/test-suite/success/refine.v @@ -121,14 +121,16 @@ Abort. (* Wish 1988: that fun forces unfold in refine *) Goal (forall A : Prop, A -> ~~A). -Proof. refine(fun A a f => _). +Proof. refine(fun A a f => _). Abort. (* Checking beta-iota normalization of hypotheses in created evars *) Goal {x|x=0} -> True. refine (fun y => let (x,a) := y in _). match goal with a:_=0 |- _ => idtac end. +Abort. Goal (forall P, {P 0}+{P 1}) -> True. refine (fun H => if H (fun x => x=x) then _ else _). match goal with _:0=0 |- _ => idtac end. +Abort. diff --git a/test-suite/success/sideff.v b/test-suite/success/sideff.v index 3c0b81568a..b9a1273b1a 100644 --- a/test-suite/success/sideff.v +++ b/test-suite/success/sideff.v @@ -5,6 +5,8 @@ Proof. apply (const tt tt). Qed. +Set Nested Proofs Allowed. + Lemma foobar' : unit. Lemma aux : forall A : Type, A -> unit. Proof. intros. pose (foo := idw A). exact tt. Show Universes. Qed. diff --git a/test-suite/success/ssr_delayed_clear_rename.v b/test-suite/success/ssr_delayed_clear_rename.v new file mode 100644 index 0000000000..951e5aff79 --- /dev/null +++ b/test-suite/success/ssr_delayed_clear_rename.v @@ -0,0 +1,5 @@ +Require Import ssreflect. +Example foo (t t1 t2 : True) : True /\ True -> True -> True. +Proof. +move=>[{t1 t2 t} t1 t2] t. +Abort. diff --git a/test-suite/unit-tests/.merlin b/test-suite/unit-tests/.merlin new file mode 100644 index 0000000000..b2279de74e --- /dev/null +++ b/test-suite/unit-tests/.merlin @@ -0,0 +1,6 @@ +REC + +S ** +B ** + +PKG oUnit diff --git a/test-suite/unit-tests/clib/inteq.ml b/test-suite/unit-tests/clib/inteq.ml new file mode 100644 index 0000000000..c07ec293f0 --- /dev/null +++ b/test-suite/unit-tests/clib/inteq.ml @@ -0,0 +1,13 @@ +open Utest + +let eq0 = mk_bool_test "clib-inteq0" + "Int.equal on 0" + (Int.equal 0 0) + +let eq42 = mk_bool_test "clib-inteq42" + "Int.equal on 42" + (Int.equal 42 42) + +let tests = [ eq0; eq42 ] + +let _ = run_tests __FILE__ tests diff --git a/test-suite/unit-tests/clib/unicode_tests.ml b/test-suite/unit-tests/clib/unicode_tests.ml new file mode 100644 index 0000000000..9ae405977b --- /dev/null +++ b/test-suite/unit-tests/clib/unicode_tests.ml @@ -0,0 +1,15 @@ +open Utest + +let unicode0 = mk_eq_test "clib-unicode0" + "split_at_first_letter, first letter is character" + None + (Unicode.split_at_first_letter "ident") + +let unicode1 = mk_eq_test "clib-unicode1" + "split_at_first_letter, first letter not character" + (Some ("__","ident")) + (Unicode.split_at_first_letter "__ident") + +let tests = [ unicode0; unicode1 ] + +let _ = run_tests __FILE__ tests diff --git a/test-suite/unit-tests/src/utest.ml b/test-suite/unit-tests/src/utest.ml new file mode 100644 index 0000000000..069e6a4bf3 --- /dev/null +++ b/test-suite/unit-tests/src/utest.ml @@ -0,0 +1,74 @@ +open OUnit + +(* general case to build a test *) +let mk_test nm test = nm >: test + +(* common cases for building tests *) +let mk_eq_test nm descr expected actual = + mk_test nm (TestCase (fun _ -> assert_equal ~msg:descr expected actual)) + +let mk_bool_test nm descr actual = + mk_test nm (TestCase (fun _ -> assert_bool descr actual)) + +let cfprintf oc = Printf.(kfprintf (fun oc -> fprintf oc "\n%!") oc) + +(* given test result, print message, return success boolean *) +let logger out_ch result = + let cprintf s = cfprintf out_ch s in + match result with + | RSuccess path -> + cprintf "TEST SUCCEEDED: %s" (string_of_path path); + true + | RError (path,msg) + | RFailure (path,msg) -> + cprintf "TEST FAILED: %s (%s)" (string_of_path path) msg; + false + | RSkip (path,msg) + | RTodo (path,msg) -> + cprintf "TEST DID NOT SUCCEED: %s (%s)" (string_of_path path) msg; + false + +(* run one OUnit test case, return successes, no. of tests *) +(* notionally one test, which might be a TestList *) +let run_one logit test = + let rec process_results rs = + match rs with + [] -> (0,0) + | (r::rest) -> + let succ = if logit r then 1 else 0 in + let succ_results,tot_results = process_results rest in + (succ + succ_results,tot_results + 1) + in + let results = perform_test (fun _ -> ()) test in + process_results results + +(* run list of OUnit test cases, log results *) +let run_tests ml_fn tests = + let log_fn = ml_fn ^ ".log" in + let out_ch = open_out log_fn in + let cprintf s = cfprintf out_ch s in + let ceprintf s = cfprintf stderr s in + let logit = logger out_ch in + let rec run_some tests succ tot = + match tests with + [] -> (succ,tot) + | (t::ts) -> + let succ_one,tot_one = run_one logit t in + run_some ts (succ + succ_one) (tot + tot_one) + in + (* format for test-suite summary to find status + success if all tests succeeded, else failure + *) + let succ,tot = run_some tests 0 0 in + cprintf + "*** Ran %d tests, with %d successes and %d failures ***" + tot succ (tot - succ); + if succ = tot then + cprintf + "==========> SUCCESS <==========\n %s...Ok" ml_fn + else begin + cprintf + "==========> FAILURE <==========\n %s...Error!" ml_fn; + ceprintf "FAILED %s.log" ml_fn + end; + close_out out_ch diff --git a/test-suite/unit-tests/src/utest.mli b/test-suite/unit-tests/src/utest.mli new file mode 100644 index 0000000000..70928228bf --- /dev/null +++ b/test-suite/unit-tests/src/utest.mli @@ -0,0 +1,12 @@ +(** give a name to a unit test *) +val mk_test : string -> OUnit.test -> OUnit.test + +(** simple ways to build a test *) +val mk_eq_test : string -> string -> 'a -> 'a -> OUnit.test +val mk_bool_test : string -> string -> bool -> OUnit.test + +(** run unit tests *) +(* the string argument should be the name of the .ml file + containing the tests; use __FILE__ for that purpose. + *) +val run_tests : string -> OUnit.test list -> unit |