diff options
Diffstat (limited to 'test-suite/bugs/closed')
| -rw-r--r-- | test-suite/bugs/closed/3848.v | 22 | ||||
| -rw-r--r-- | test-suite/bugs/closed/4256.v | 43 | ||||
| -rw-r--r-- | test-suite/bugs/closed/4484.v | 10 |
3 files changed, 75 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/3848.v b/test-suite/bugs/closed/3848.v new file mode 100644 index 0000000000..a03e8ffdab --- /dev/null +++ b/test-suite/bugs/closed/3848.v @@ -0,0 +1,22 @@ +Require Import TestSuite.admit. +Axiom transport : forall {A : Type} (P : A -> Type) {x y : A} (p : x = y) (u : P x), P y. +Notation "p # x" := (transport _ p x) (right associativity, at level 65, only parsing). +Definition Sect {A B : Type} (s : A -> B) (r : B -> A) := forall x : A, r (s x) = x. +Class IsEquiv {A B} (f : A -> B) := { equiv_inv : B -> A ; eisretr : Sect equiv_inv f }. +Arguments eisretr {A B} f {_} _. +Notation "f ^-1" := (@equiv_inv _ _ f _) (at level 3, format "f '^-1'"). +Generalizable Variables A B f g e n. +Definition functor_forall `{P : A -> Type} `{Q : B -> Type} + (f0 : B -> A) (f1 : forall b:B, P (f0 b) -> Q b) +: (forall a:A, P a) -> (forall b:B, Q b). + admit. +Defined. + +Lemma isequiv_functor_forall `{P : A -> Type} `{Q : B -> Type} + `{IsEquiv B A f} `{forall b, @IsEquiv (P (f b)) (Q b) (g b)} +: (forall b : B, Q b) -> forall a : A, P a. +Proof. + refine (functor_forall + (f^-1) + (fun (x:A) (y:Q (f^-1 x)) => eisretr f x # (g (f^-1 x))^-1 y)). +Fail Defined. (* Error: Attempt to save an incomplete proof *) diff --git a/test-suite/bugs/closed/4256.v b/test-suite/bugs/closed/4256.v new file mode 100644 index 0000000000..3cdc4ada02 --- /dev/null +++ b/test-suite/bugs/closed/4256.v @@ -0,0 +1,43 @@ +(* Testing 8.5 regression with type classes not solving evars + redefined while trying to solve them with the type class mechanism *) + +Global Set Universe Polymorphism. +Monomorphic Universe i. +Inductive paths {A : Type} (a : A) : A -> Type := + idpath : paths a a. +Arguments idpath {A a} , [A] a. +Notation "x = y :> A" := (@paths A x y) : type_scope. +Notation "x = y" := (x = y :>_) : type_scope. + +Inductive trunc_index : Type := +| minus_two : trunc_index +| trunc_S : trunc_index -> trunc_index. +Notation "-1" := (trunc_S minus_two) (at level 0). + +Class IsPointed (A : Type) := point : A. +Arguments point A {_}. + +Record pType := + { pointed_type : Type ; + ispointed_type : IsPointed pointed_type }. +Coercion pointed_type : pType >-> Sortclass. +Existing Instance ispointed_type. + +Private Inductive Trunc (n : trunc_index) (A :Type) : Type := + tr : A -> Trunc n A. +Arguments tr {n A} a. + + + +Record ooGroup := + { classifying_space : pType@{i} }. + +Definition group_loops (X : pType) +: ooGroup. +Proof. + (** This works: *) + pose (x0 := point X). + pose (H := existT (fun x:X => Trunc -1 (x = point X)) x0 (tr idpath)). + clear H x0. + (** But this doesn't: *) + pose (existT (fun x:X => Trunc -1 (x = point X)) (point X) (tr idpath)). diff --git a/test-suite/bugs/closed/4484.v b/test-suite/bugs/closed/4484.v new file mode 100644 index 0000000000..f988539d62 --- /dev/null +++ b/test-suite/bugs/closed/4484.v @@ -0,0 +1,10 @@ +(* Testing 8.5 regression with type classes not solving evars + redefined while trying to solve them with the type class mechanism *) + +Class A := {}. +Axiom foo : forall {ac : A}, bool. +Lemma bar (ac : A) : True. +Check (match foo as k return foo = k -> True with + | true => _ + | false => _ + end eq_refl). |
