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Theorem pm1.4 679
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  |-  ( (
ph  \/  ps )  ->  ( ps  \/  ph ) )

Proof of Theorem pm1.4
StepHypRef Expression
1 olc 665 . 2  |-  ( ph  ->  ( ps  \/  ph ) )
2 orc 666 . 2  |-  ( ps 
->  ( ps  \/  ph ) )
31, 2jaoi 669 1  |-  ( (
ph  \/  ps )  ->  ( ps  \/  ph ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  orcom  680  orcoms  682  pm2.3  725  pm2.36  751  pm2.37  752  pm2.8  757  dveeq2or  1741  prneimg  3601
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