Standard Library | The Coq Proof Assistant

The Coq Proof Assistant

# Library Coq.ssr.ssrclasses

Compatibility layer for under and setoid_rewrite.
Note: this file does not require ssreflect; it is both required by ssrsetoid and required by ssrunder.
Redefine Coq.Classes.RelationClasses.Reflexive here, so that doing Require Import ssreflect does not Require Import RelationClasses, and conversely.
Section Defs.
Context {A : Type}.
Class Reflexive (R : A -> A -> Prop) :=
reflexivity : forall x : A, R x x.
End Defs.
Register Reflexive as plugins.ssreflect.reflexive_type.
Register reflexivity as plugins.ssreflect.reflexive_proof.
#[global]
Instance eq_Reflexive {A : Type} : Reflexive (@eq A) := @eq_refl A.
#[global]
Instance iff_Reflexive : Reflexive iff := iff_refl.