Theorem rncnv

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

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

Proof

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