(* File reduced by coq-bug-finder from original input, then from 6329 lines to 110 lines, then from 115 lines to 88 lines, then from 93 lines to 72 lines *)
(* coqc version trunk (September 2014) compiled on Sep 25 2014 2:53:46 with OCaml 4.01.0 coqtop version cagnode16:/afs/csail.mit.edu/u/j/jgross/coq-trunk,trunk (bec7e0914f4a7144cd4efa8ffaccc9f72dbdb790) *)
Notation "( x ; y )" := (existT _ x y).
Notation "x .1" := (projT1 x) (at level 3, format "x '.1'").
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 }.
Notation "A <~> B" := (Equiv A B) (at level 85).

Axiom IsHProp : Type -> Type.