Metamath Proof Explorer


Theorem elv

Description: If a proposition is implied by x e. _V (which is true, see vex ), then it is true. (Contributed by Peter Mazsa, 13-Oct-2018)

Ref Expression
Hypothesis elv.1
|- ( x e. _V -> ph )
Assertion elv
|- ph

Proof

Step Hyp Ref Expression
1 elv.1
 |-  ( x e. _V -> ph )
2 vex
 |-  x e. _V
3 2 1 ax-mp
 |-  ph