diff options
Diffstat (limited to 'test-suite/bugs/closed/3698.v')
| -rw-r--r-- | test-suite/bugs/closed/3698.v | 25 |
1 files changed, 25 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/3698.v b/test-suite/bugs/closed/3698.v new file mode 100644 index 00000000..3c53d243 --- /dev/null +++ b/test-suite/bugs/closed/3698.v @@ -0,0 +1,25 @@ +(* File reduced by coq-bug-finder from original input, then from 5479 lines to 4682 lines, then from 4214 lines to 86 lines, then from 60 lines to 25 lines *) +(* coqc version trunk (October 2014) compiled on Oct 1 2014 18:13:54 with OCaml 4.01.0 + coqtop version cagnode16:/afs/csail.mit.edu/u/j/jgross/coq-trunk,trunk (68846802a7be637ec805a5e374655a426b5723a5) *) +Set Primitive Projections. +Notation "( x ; y )" := (existT _ x y) : fibration_scope. +Open Scope fibration_scope. +Notation pr1 := projT1. +Notation "x .1" := (pr1 x) (at level 3, format "x '.1'") : fibration_scope. +Axiom ap : forall {A B:Type} (f:A -> B) {x y:A} (p:x = y), f x = f y. +Class IsEquiv {A B : Type} (f : A -> B) := { equiv_inv : B -> A }. +Record Equiv A B := { equiv_fun :> A -> B ; equiv_isequiv :> IsEquiv equiv_fun }. +Global Existing Instance equiv_isequiv. +Notation "A <~> B" := (Equiv A B) (at level 85) : equiv_scope. +Notation "f ^-1" := (@equiv_inv _ _ f _) (at level 3, format "f '^-1'") : equiv_scope. +Axiom IsHSet : Type -> Type. +Local Open Scope equiv_scope. +Record hSet := BuildhSet {setT:> Type; iss :> IsHSet setT}. +Canonical Structure default_HSet:= fun T P => (@BuildhSet T P). +Axiom issig_hSet: (sigT IsHSet) <~> hSet. +Definition isequiv_ap_setT X Y : IsEquiv (@ap _ _ setT X Y). +Proof. + assert (H'' : forall g : X = Y -> (issig_hSet^-1 X).1 = (issig_hSet^-1 Y).1, + g = g -> IsEquiv g) by admit. + Eval compute in (@projT1 Type IsHSet (@equiv_inv _ _ _ (equiv_isequiv _ _ issig_hSet) X)). + Fail apply H''. (* stack overflow *)
\ No newline at end of file |