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-rw-r--r--test-suite/output/UnivBinders.out56
-rw-r--r--test-suite/output/UnivBinders.v49
-rw-r--r--test-suite/prerequisite/bind_univs.v2
3 files changed, 87 insertions, 20 deletions
diff --git a/test-suite/output/UnivBinders.out b/test-suite/output/UnivBinders.out
index f69379a571..d6d410d1ae 100644
--- a/test-suite/output/UnivBinders.out
+++ b/test-suite/output/UnivBinders.out
@@ -44,26 +44,45 @@ bar@{u} = nat
bar is universe polymorphic
foo@{u Top.17 v} =
Type@{Top.17} -> Type@{v} -> Type@{u}
- : Type@{max(u+1, Top.17+1, v+1)}
+ : Type@{max(u+1,Top.17+1,v+1)}
(* u Top.17 v |= *)
foo is universe polymorphic
-Monomorphic mono = Type@{u}
- : Type@{u+1}
-(* {u} |= *)
+Monomorphic mono = Type@{mono.u}
+ : Type@{mono.u+1}
+(* {mono.u} |= *)
mono is not universe polymorphic
+mono
+ : Type@{mono.u+1}
+Type@{mono.u}
+ : Type@{mono.u+1}
+The command has indeed failed with message:
+Universe u already exists.
+monomono
+ : Type@{MONOU+1}
+mono.monomono
+ : Type@{mono.MONOU+1}
+monomono
+ : Type@{MONOU+1}
+mono
+ : Type@{mono.u+1}
+The command has indeed failed with message:
+Universe u already exists.
+bobmorane =
+let tt := Type@{tt.v} in let ff := Type@{ff.v} in tt -> ff
+ : Type@{max(tt.u,ff.u)}
The command has indeed failed with message:
Universe u already bound.
foo@{E M N} =
Type@{M} -> Type@{N} -> Type@{E}
- : Type@{max(E+1, M+1, N+1)}
+ : Type@{max(E+1,M+1,N+1)}
(* E M N |= *)
foo is universe polymorphic
foo@{Top.16 Top.17 Top.18} =
Type@{Top.17} -> Type@{Top.18} -> Type@{Top.16}
- : Type@{max(Top.16+1, Top.17+1, Top.18+1)}
+ : Type@{max(Top.16+1,Top.17+1,Top.18+1)}
(* Top.16 Top.17 Top.18 |= *)
foo is universe polymorphic
@@ -88,9 +107,10 @@ The command has indeed failed with message:
This object does not support universe names.
The command has indeed failed with message:
Cannot enforce v < u because u < gU < gV < v
-Monomorphic bind_univs.mono = Type@{u}
- : Type@{u+1}
-(* {u} |= *)
+Monomorphic bind_univs.mono =
+Type@{bind_univs.mono.u}
+ : Type@{bind_univs.mono.u+1}
+(* {bind_univs.mono.u} |= *)
bind_univs.mono is not universe polymorphic
bind_univs.poly@{u} = Type@{u}
@@ -99,12 +119,12 @@ bind_univs.poly@{u} = Type@{u}
bind_univs.poly is universe polymorphic
insec@{v} = Type@{u} -> Type@{v}
- : Type@{max(u+1, v+1)}
+ : Type@{max(u+1,v+1)}
(* v |= *)
insec is universe polymorphic
insec@{u v} = Type@{u} -> Type@{v}
- : Type@{max(u+1, v+1)}
+ : Type@{max(u+1,v+1)}
(* u v |= *)
insec is universe polymorphic
@@ -125,28 +145,28 @@ inmod@{u} = Type@{u}
inmod is universe polymorphic
Applied.infunct@{u v} =
inmod@{u} -> Type@{v}
- : Type@{max(u+1, v+1)}
+ : Type@{max(u+1,v+1)}
(* u v |= *)
Applied.infunct is universe polymorphic
-axfoo@{i Top.33 Top.34} : Type@{Top.33} -> Type@{i}
-(* i Top.33 Top.34 |= *)
+axfoo@{i Top.41 Top.42} : Type@{Top.41} -> Type@{i}
+(* i Top.41 Top.42 |= *)
axfoo is universe polymorphic
Argument scope is [type_scope]
Expands to: Constant Top.axfoo
-axbar@{i Top.33 Top.34} : Type@{Top.34} -> Type@{i}
-(* i Top.33 Top.34 |= *)
+axbar@{i Top.41 Top.42} : Type@{Top.42} -> Type@{i}
+(* i Top.41 Top.42 |= *)
axbar is universe polymorphic
Argument scope is [type_scope]
Expands to: Constant Top.axbar
-axfoo' : Type@{Top.36} -> Type@{i}
+axfoo' : Type@{Top.44} -> Type@{axbar'.i}
axfoo' is not universe polymorphic
Argument scope is [type_scope]
Expands to: Constant Top.axfoo'
-axbar' : Type@{Top.36} -> Type@{i}
+axbar' : Type@{Top.44} -> Type@{axbar'.i}
axbar' is not universe polymorphic
Argument scope is [type_scope]
diff --git a/test-suite/output/UnivBinders.v b/test-suite/output/UnivBinders.v
index 116d5e5e94..266d94ad99 100644
--- a/test-suite/output/UnivBinders.v
+++ b/test-suite/output/UnivBinders.v
@@ -1,6 +1,6 @@
Set Universe Polymorphism.
Set Printing Universes.
-Unset Strict Universe Declaration.
+(* Unset Strict Universe Declaration. *)
(* universe binders on inductive types and record projections *)
Inductive Empty@{u} : Type@{u} := .
@@ -25,14 +25,59 @@ Print wrap.
Instance bar@{u} : Wrap@{u} Set. Proof. exact nat. Qed.
Print bar.
+Unset Strict Universe Declaration.
(* The universes in the binder come first, then the extra universes in
order of appearance. *)
Definition foo@{u +} := Type -> Type@{v} -> Type@{u}.
Print foo.
+Set Strict Universe Declaration.
(* Binders even work with monomorphic definitions! *)
Monomorphic Definition mono@{u} := Type@{u}.
Print mono.
+Check mono.
+Check Type@{mono.u}.
+
+Module mono.
+ Fail Monomorphic Universe u.
+ Monomorphic Universe MONOU.
+
+ Monomorphic Definition monomono := Type@{MONOU}.
+ Check monomono.
+End mono.
+Check mono.monomono. (* qualified MONOU *)
+Import mono.
+Check monomono. (* unqualified MONOU *)
+Check mono. (* still qualified mono.u *)
+
+Monomorphic Constraint Set < Top.mono.u.
+
+Module mono2.
+ Monomorphic Universe u.
+End mono2.
+
+Fail Monomorphic Definition mono2@{u} := Type@{u}.
+
+Module SecLet.
+ Unset Universe Polymorphism.
+ Section foo.
+ (* Fail Let foo@{} := Type@{u}. (* doesn't parse: Let foo@{...} doesn't exist *) *)
+ Unset Strict Universe Declaration.
+ Let tt : Type@{u} := Type@{v}. (* names disappear in the ether *)
+ Let ff : Type@{u}. Proof. exact Type@{v}. Qed. (* if Set Universe Polymorphism: universes are named ff.u and ff.v. Otherwise names disappear into space *)
+ Definition bobmorane := tt -> ff.
+ End foo.
+ Print bobmorane. (*
+ bobmorane@{Top.15 Top.16 ff.u ff.v} =
+ let tt := Type@{Top.16} in let ff := Type@{ff.v} in tt -> ff
+ : Type@{max(Top.15,ff.u)}
+ (* Top.15 Top.16 ff.u ff.v |= Top.16 < Top.15
+ ff.v < ff.u
+ *)
+
+ bobmorane is universe polymorphic
+ *)
+End SecLet.
(* fun x x => foo is nonsense with local binders *)
Fail Definition fo@{u u} := Type@{u}.
@@ -61,7 +106,7 @@ Monomorphic Universes gU gV. Monomorphic Constraint gU < gV.
Fail Lemma foo@{u v|u < gU, gV < v, v < u} : nat.
(* Universe binders survive through compilation, sections and modules. *)
-Require bind_univs.
+Require TestSuite.bind_univs.
Print bind_univs.mono.
Print bind_univs.poly.
diff --git a/test-suite/prerequisite/bind_univs.v b/test-suite/prerequisite/bind_univs.v
index f17c00e9d7..e834fde113 100644
--- a/test-suite/prerequisite/bind_univs.v
+++ b/test-suite/prerequisite/bind_univs.v
@@ -3,3 +3,5 @@
Monomorphic Definition mono@{u} := Type@{u}.
Polymorphic Definition poly@{u} := Type@{u}.
+
+Monomorphic Universe reqU.