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 ∈ V → 𝜑 )
Assertion	elv	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		elv.1	⊢ ( 𝑥 ∈ V → 𝜑 )
2		vex	⊢ 𝑥 ∈ V
3	2 1	ax-mp	⊢ 𝜑