Metamath Proof Explorer


Theorem 19.36iv

Description: Inference associated with 19.36v . Version of 19.36i with a disjoint variable condition. (Contributed by NM, 5-Aug-1993) Reduce dependencies on axioms. (Revised by Wolf Lammen, 17-Jan-2020) Remove dependency on ax-6 . (Revised by Rohan Ridenour, 15-Apr-2022)

Ref Expression
Hypothesis 19.36iv.1 x φ ψ
Assertion 19.36iv x φ ψ

Proof

Step Hyp Ref Expression
1 19.36iv.1 x φ ψ
2 19.36imv x φ ψ x φ ψ
3 1 2 ax-mp x φ ψ