Theorem el2v1

Description: New way ( elv , and the theorems beginning with "el2v" or "el3v") to shorten some proofs. (Contributed by Peter Mazsa, 23-Oct-2018)

	Ref	Expression
Hypothesis	el2v1.1	⊢ ( ( 𝑥 ∈ V ∧ 𝜑 ) → 𝜓 )
Assertion	el2v1	⊢ ( 𝜑 → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		el2v1.1	⊢ ( ( 𝑥 ∈ V ∧ 𝜑 ) → 𝜓 )
2		vex	⊢ 𝑥 ∈ V
3	2 1	mpan	⊢ ( 𝜑 → 𝜓 )