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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 = dom 𝐴

Step	Hyp	Ref	Expression
1		dfdm4	⊢ dom 𝐴 = ran ^◡ 𝐴
2	1	eqcomi	⊢ ran ^◡ 𝐴 = dom 𝐴