(* File reduced by coq-bug-finder from original input, then from 10940 lines to 152 lines, then from 509 lines to 163 lines, then from 178 lines to 66 lines *) (* coqc version 8.5beta1 (March 2015) compiled on Mar 2 2015 18:53:10 with OCaml 4.01.0 coqtop version cagnode15:/afs/csail.mit.edu/u/j/jgross/coq-8.5,v8.5 (e77f178e60918f14eacd1ec0364a491d4cfd0f3f) *) Global Set Primitive Projections. Set Implicit Arguments. Record sigT {A} (P : A -> Type) := existT { projT1 : A ; projT2 : P projT1 }. Axiom path_forall : forall {A : Type} {P : A -> Type} (f g : forall x : A, P x), (forall x, f x = g x) -> f = g. Lemma sigT_obj_eq : forall (T : Type) (T0 : T -> Type) (s s0 : forall s : sigT T0, sigT (fun _ : T0 (projT1 s) => unit) -> sigT (fun _ : T0 (projT1 s) => unit)), s0 = s. Proof. intros. Set Debug Tactic Unification. apply path_forall.