This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem el3v12

Description: New way ( elv , and the theorems beginning with "el2v" or "el3v") to shorten some proofs. (Contributed by Peter Mazsa, 11-Jul-2021)

		Ref	Expression
	Hypothesis	el3v12.1	$⊢ (x \in V \land y \in V \land χ) \to θ$
	Assertion	el3v12	$⊢ χ \to θ$

Step	Hyp	Ref	Expression
1		el3v12.1	$⊢ (x \in V \land y \in V \land χ) \to θ$
2	1	el3v1	$⊢ (y \in V \land χ) \to θ$
3	2	el2v1	$⊢ χ \to θ$