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[Coq-Club] Do I need JMeq?


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  • From: Gregory Bush <gbush AT mysck.com>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] Do I need JMeq?
  • Date: Thu, 17 Nov 2011 17:07:17 -0500

(* This may be trivial, but is the following provable in Coq without using JMeq_eq or other axioms? *)


Set Implicit Arguments.

Variable M : Type -> Type.

Variable R : forall A, M A -> M A -> Prop.

Inductive R' : forall A B, M A -> M B -> Prop :=
| CR' : forall A (x y : M A), R x y -> R' x y.

Theorem R'inv : forall A (x y : M A), R' x y -> R x y.


(* Thanks *)




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