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Theorem bj-jaoi1 31561
Description: Shortens 11 proofs by a total of around 60 bytes. (Contributed by BJ, 30-Sep-2019.)
Hypothesis
Ref Expression
bj-jaoi1.1 (𝜑𝜓)
Assertion
Ref Expression
bj-jaoi1 ((𝜑𝜓) → 𝜓)

Proof of Theorem bj-jaoi1
StepHypRef Expression
1 bj-jaoi1.1 . 2 (𝜑𝜓)
2 id 22 . 2 (𝜓𝜓)
31, 2jaoi 392 1 ((𝜑𝜓) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 381
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 195  df-or 383
This theorem is referenced by:  bj-falor2  31578
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