Metamath Proof Explorer


Theorem elexd

Description: If a class is a member of another class, then it is a set. Deduction associated with elex . (Contributed by Glauco Siliprandi, 11-Oct-2020)

Ref Expression
Hypothesis elexd.1
|- ( ph -> A e. V )
Assertion elexd
|- ( ph -> A e. _V )

Proof

Step Hyp Ref Expression
1 elexd.1
 |-  ( ph -> A e. V )
2 elex
 |-  ( A e. V -> A e. _V )
3 1 2 syl
 |-  ( ph -> A e. _V )