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Metamath Proof Explorer

Theorem rncnv

Description: Range of converse is the domain. (Contributed by Peter Mazsa, 12-Feb-2018)

		Ref	Expression
	Assertion	rncnv	$⊢ ran A^{-1} = dom A$

Step	Hyp	Ref	Expression
1		dfdm4	$⊢ dom A = ran A^{-1}$
2	1	eqcomi	$⊢ ran A^{-1} = dom A$