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Theorem pm1.4 701
Description: Axiom *1.4 of [WhiteheadRussell] p. 96. (Contributed by NM, 3-Jan-2005.) (Revised by NM, 15-Nov-2012.)
Assertion
Ref Expression
pm1.4 ((𝜑𝜓) → (𝜓𝜑))

Proof of Theorem pm1.4
StepHypRef Expression
1 olc 685 . 2 (𝜑 → (𝜓𝜑))
2 orc 686 . 2 (𝜓 → (𝜓𝜑))
31, 2jaoi 690 1 ((𝜑𝜓) → (𝜓𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 682
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 683
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  orcom  702  orcoms  704  pm2.3  749  pm2.36  778  pm2.37  779  pm2.8  784  dveeq2or  1772  prneimg  3671
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