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Theorem bj-jaoi2 33802
Description: Shortens consensus 1044 (110>106), elnn0z 11982 (336>329), pm1.2 897 (20>19), pm3.2ni 874 (43>39), pm4.44 990 (55>51). (Contributed by BJ, 30-Sep-2019.)
Hypothesis
Ref Expression
bj-jaoi1.1 (𝜑𝜓)
Assertion
Ref Expression
bj-jaoi2 ((𝜓𝜑) → 𝜓)

Proof of Theorem bj-jaoi2
StepHypRef Expression
1 id 22 . 2 (𝜓𝜓)
2 bj-jaoi1.1 . 2 (𝜑𝜓)
31, 2jaoi 851 1 ((𝜓𝜑) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 841
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 208  df-or 842
This theorem is referenced by:  bj-consensus  33808
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