Theorem dfcomember2

Description: Alternate definition of the comember equivalence relation. (Contributed by Peter Mazsa, 25-Sep-2021)

	Ref	Expression
Assertion	dfcomember2	Could not format assertion : No typesetting found for |- ( CoMembEr A <-> ( EqvRel ~ A /\ ( dom ~ A /. ~ A ) = A ) ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		dfcomember	Could not format ( CoMembEr A <-> ~ A ErALTV A ) : No typesetting found for |- ( CoMembEr A <-> ~ A ErALTV A ) with typecode |-
2		dferALTV2	$$⊢\sim AErALTVA\leftrightarrow \left(EqvRel\sim A\wedge \mathrm{dom}\sim A/\sim A=A\right)$$
3	1 2	bitri	Could not format ( CoMembEr A <-> ( EqvRel ~ A /\ ( dom ~ A /. ~ A ) = A ) ) : No typesetting found for |- ( CoMembEr A <-> ( EqvRel ~ A /\ ( dom ~ A /. ~ A ) = A ) ) with typecode |-