Metamath Proof Explorer


Theorem el3v23

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 el3v23.1 ⊢ φ ∧ y ∈ V ∧ z ∈ V → θ
Assertion el3v23 ⊢ φ → θ

Proof

Step Hyp Ref Expression
1 el3v23.1 ⊢ φ ∧ y ∈ V ∧ z ∈ V → θ
2 1 el3v3 ⊢ φ ∧ y ∈ V → θ
3 2 elvd ⊢ φ → θ