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Theorem bj-peircei 32678
Description: Inference associated with peirce 193. (Contributed by BJ, 30-Mar-2020.)
Hypothesis
Ref Expression
bj-peircei.1 ((𝜑𝜓) → 𝜑)
Assertion
Ref Expression
bj-peircei 𝜑

Proof of Theorem bj-peircei
StepHypRef Expression
1 bj-peircei.1 . 2 ((𝜑𝜓) → 𝜑)
2 peirce 193 . 2 (((𝜑𝜓) → 𝜑) → 𝜑)
31, 2ax-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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