Theorem el3v13

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	el3v13.1	⊢ ( ( 𝑥 ∈ V ∧ 𝜓 ∧ 𝑧 ∈ V ) → 𝜃 )
Assertion	el3v13	⊢ ( 𝜓 → 𝜃 )

Proof

Step	Hyp	Ref	Expression
1		el3v13.1	⊢ ( ( 𝑥 ∈ V ∧ 𝜓 ∧ 𝑧 ∈ V ) → 𝜃 )
2	1	el3v3	⊢ ( ( 𝑥 ∈ V ∧ 𝜓 ) → 𝜃 )
3	2	el2v1	⊢ ( 𝜓 → 𝜃 )