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Theorem pm1.4 646
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 632 . 2 (𝜑 → (𝜓𝜑))
2 orc 633 . 2 (𝜓 → (𝜓𝜑))
31, 2jaoi 636 1 ((𝜑𝜓) → (𝜓𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 629
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  orcom  647  orcoms  649  pm2.3  692  pm2.36  717  pm2.37  718  pm2.8  723  dveeq2or  1697  prneimg  3545
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