Theorem cosseqi

Description: Equality theorem for the classes of cosets by A and B , inference form. (Contributed by Peter Mazsa, 9-Jan-2018)

	Ref	Expression
Hypothesis	cosseqi.1	$$⊢A=B$$
Assertion	cosseqi	$$⊢\wr A=\wr B$$

Proof

Step	Hyp	Ref	Expression
1		cosseqi.1	$$⊢A=B$$
2		cosseq	$$⊢A=B\to \wr A=\wr B$$
3	1 2	ax-mp	$$⊢\wr A=\wr B$$