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Metamath Proof Explorer

Theorem cnveqi

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

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

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