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

Proof

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