Metamath Proof Explorer


Theorem bj-looinvi

Description: Inference associated with looinv . Its associated inference is bj-looinvii . (Contributed by BJ, 30-Mar-2020)

Ref Expression
Hypothesis bj-looinvi.1 φ ψ ψ
Assertion bj-looinvi ψ φ φ

Proof

Step Hyp Ref Expression
1 bj-looinvi.1 φ ψ ψ
2 looinv φ ψ ψ ψ φ φ
3 1 2 ax-mp ψ φ φ