Description: If a proposition is implied by x e.V and y e. V (which is true, see vex ), then it is true. (Contributed by Peter Mazsa, 13-Oct-2018)
Ref | Expression | ||
---|---|---|---|
Hypothesis | el2v.1 | |- ( ( x e. _V /\ y e. _V ) -> ph ) |
|
Assertion | el2v | |- ph |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | el2v.1 | |- ( ( x e. _V /\ y e. _V ) -> ph ) |
|
2 | vex | |- x e. _V |
|
3 | vex | |- y e. _V |
|
4 | 2 3 1 | mp2an | |- ph |