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-
-Require Import Setoid.
-Parameter E : nat -> nat -> Prop.
-Axiom E_equiv : equiv nat E.
-Add Relation nat E
-reflexivity proved by (proj1 E_equiv)
-symmetry proved by (proj2 (proj2 E_equiv))
-transitivity proved by (proj1 (proj2 E_equiv))
-as E_rel.
-Notation "x == y" := (E x y) (at level 70, no associativity).
-Axiom r : False -> 0 == 1.
-Goal 0 == 0.
-Proof.
-rewrite r.
-reflexivity.
-admit.
-Qed.