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Theorem bj-looinvii 32889
Description: Inference associated with bj-looinvi 32888. (Contributed by BJ, 30-Mar-2020.)
Hypotheses
Ref Expression
bj-looinvii.1 ((𝜑𝜓) → 𝜓)
bj-looinvii.2 (𝜓𝜑)
Assertion
Ref Expression
bj-looinvii 𝜑

Proof of Theorem bj-looinvii
StepHypRef Expression
1 bj-looinvii.2 . 2 (𝜓𝜑)
2 bj-looinvii.1 . . 3 ((𝜑𝜓) → 𝜓)
32bj-looinvi 32888 . 2 ((𝜓𝜑) → 𝜑)
41, 3ax-mp 5 1 𝜑
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by: (None)
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