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	$$⊢x\in \mathrm{V}\to \phi$$
Assertion	elv	$$⊢\phi$$

Proof

Step	Hyp	Ref	Expression
1		elv.1	$$⊢x\in \mathrm{V}\to \phi$$
2		vex	$$⊢x\in \mathrm{V}$$
3	2 1	ax-mp	$$⊢\phi$$