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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	$⊢ x \in V \to φ$
	Assertion	elv	$⊢ φ$

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