Metamath Proof Explorer

Theorem el2v1

Description: New way ( elv , and the theorems beginning with "el2v" or "el3v") to shorten some proofs. (Contributed by Peter Mazsa, 23-Oct-2018)

Ref Expression
Hypothesis el2v1.1 
|- ( ( x e. _V /\ ph ) -> ps )
Assertion el2v1 
|- ( ph -> ps )

Proof

Step Hyp Ref Expression
1 el2v1.1 
 |-  ( ( x e. _V /\ ph ) -> ps )
2 vex 
 |-  x e. _V
3 2 1 mpan 
 |-  ( ph -> ps )