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Theorem bj-poni 34419
Description: Inference associated with "pon", pm2.27 42. Its associated inference is ax-mp 5. (Contributed by BJ, 30-Jul-2024.)
Hypothesis
Ref Expression
bj-poni.1 𝜑
Assertion
Ref Expression
bj-poni ((𝜑𝜓) → 𝜓)

Proof of Theorem bj-poni
StepHypRef Expression
1 bj-poni.1 . 2 𝜑
2 pm2.27 42 . 2 (𝜑 → ((𝜑𝜓) → 𝜓))
31, 2ax-mp 5 1 ((𝜑𝜓) → 𝜓)
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
This theorem is referenced by: (None)
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