Theorem heeq2

Description: Equality law for relations being herditary over a class. (Contributed by RP, 27-Mar-2020)

	Ref	Expression
Assertion	heeq2	$$⊢A=B\to \left(RhereditaryA\leftrightarrow RhereditaryB\right)$$

Proof

Step	Hyp	Ref	Expression
1		eqid	$$⊢R=R$$
2		heeq12	$$⊢\left(R=R\wedge A=B\right)\to \left(RhereditaryA\leftrightarrow RhereditaryB\right)$$
3	1 2	mpan	$$⊢A=B\to \left(RhereditaryA\leftrightarrow RhereditaryB\right)$$