Metamath Proof Explorer


Theorem bj-elissetALT

Description: Alternate proof of elisset . This is essentially the same proof as seen by inlining bj-denotes and bj-denoteslem . Use elissetv instead when sufficient (in particular when V is substituted for _V ). (Contributed by BJ, 29-Apr-2019) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion bj-elissetALT A V x x = A

Proof

Step Hyp Ref Expression
1 elissetv A V y y = A
2 bj-denotes y y = A x x = A
3 1 2 sylib A V x x = A