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 V y V χ θ
Assertion el3v12 χ θ

Proof

Step Hyp Ref Expression
1 el3v12.1 x V y V χ θ
2 1 el3v1 y V χ θ
3 2 el2v1 χ θ