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(* File Eqdep.v created by Christine Paulin-Mohring in Coq V5.6, May 1992 *)
(* Abstraction with respect to the eq_rect_eq axiom and creation of EqdepFacts.v by Hugo Herbelin, Mar 2006 *)
(** This file axiomatizes the invariance by substitution of reflexive equality proofs [[Streicher93]] and exports its consequences, such as the injectivity of the projection of the dependent pair.  [[Streicher93]] T. Streicher, Semantical Investigations into Intensional Type Theory, Habilitationsschrift, LMU München, 1993. *)
Require Export EqdepFacts.
Module Eq_rect_eq.

Axiom eq_rect_eq :
forall (U:Type) (p:U) (Q:U -> Type) (x:Q p) (h:p = p), x = eq_rect p Q x p h.