End EqdepElimination.
Module EqdepTheory (M:EqdepElimination).
Section Axioms.
Variable U:Type.
(** Invariance by Substitution of Reflexive Equality Proofs *)

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