Theorem cnveqi

Description: Equality inference for converse relation. (Contributed by NM, 23-Dec-2008)

	Ref	Expression
Hypothesis	cnveqi.1	$$⊢A=B$$
Assertion	cnveqi	$$⊢A^{-1}=B^{-1}$$

Proof

Step	Hyp	Ref	Expression
1		cnveqi.1	$$⊢A=B$$
2		cnveq	$$⊢A=B\to A^{-1}=B^{-1}$$
3	1 2	ax-mp	$$⊢A^{-1}=B^{-1}$$