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+(* File reduced by coq-bug-finder from original input, then from 2674 lines to 136 lines, then from 115 lines to 61 lines *)
+(* coqc version trunk (October 2014) compiled on Oct 28 2014 14:33:38 with OCaml 4.01.0
+ coqtop version cagnode15:/afs/csail.mit.edu/u/j/jgross/coq-trunk,(no branch) (53bfe9cf58a3c40e6eb7120d25c1633a9cea3126) *)
+Class IsEquiv {A B : Type} (f : A -> B) := {}.
+Record Equiv A B := { equiv_fun : A -> B ; equiv_isequiv : IsEquiv equiv_fun }.
+Arguments equiv_fun {A B} _ _.
+Record PreCategory := { object :> Type ; morphism : object -> object -> Type }.
+Set Printing Coercions.
+Set Printing Implicit.
+Module NonPrim.
+ Unset Primitive Projections.
+ Record TruncType (n : nat) := { trunctype_type :> Type }.
+ Canonical Structure default_TruncType := fun n T => (@Build_TruncType n T).
+ Goal (forall (s d : TruncType 0) (m : trunctype_type 0 s -> trunctype_type 0 d),
+ @IsEquiv (trunctype_type 0 s) (trunctype_type 0 d) m -> Type) ->
+ forall (T T0 : Type) (m : T0 -> T), @IsEquiv T0 T m -> True.
+ intros isiso_isequiv' mc md e e'.
+ (pose (@isiso_isequiv'
+ _ _
+ (e
+ : (Build_TruncType 0 md) ->
+ (Build_TruncType 0 mc))
+ e') as i || fail "too early"); clear i.
+ pose (@isiso_isequiv'
+ _ _ _
+ e').
+ admit.
+ Defined.
+End NonPrim.
+Module Prim.
+ Set Primitive Projections.
+ Record TruncType (n : nat) := { trunctype_type :> Type }.
+ Canonical Structure default_TruncType := fun n T => (@Build_TruncType n T).
+ Goal (forall (s d : TruncType 0) (m : trunctype_type 0 s -> trunctype_type 0 d),
+ @IsEquiv (trunctype_type 0 s) (trunctype_type 0 d) m -> Type) ->
+ forall (T T0 : Type) (m : T0 -> T), @IsEquiv T0 T m -> True.
+ intros isiso_isequiv' mc md e e'.
+ (pose (@isiso_isequiv'
+ _ _
+ (e
+ : (Build_TruncType 0 md) ->
+ (Build_TruncType 0 mc))
+ e') as i || fail "too early"); clear i.
+ Set Printing Existential Instances.
+ Set Debug Unification.
+ pose (@isiso_isequiv'
+ _ _ _
+ e'). (* Toplevel input, characters 48-50:
+Error:
+In environment
+isiso_isequiv' : forall (s d : TruncType 0)
+ (m : trunctype_type 0 s -> trunctype_type 0 d),
+ @IsEquiv (trunctype_type 0 s) (trunctype_type 0 d) m -> Type
+mc : Type
+md : Type
+e : md -> mc
+e' : @IsEquiv md mc e
+The term "e'" has type "@IsEquiv md mc e" while it is expected to have type
+ "@IsEquiv (trunctype_type 0 ?t) (trunctype_type 0 ?t0) ?t1".
+ *)
+ admit.
+ Defined.
+End Prim. \ No newline at end of file