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Theorem jaob 682
Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. Alias of ax-io 681. (Contributed by NM, 30-May-1994.) (Revised by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
jaob  |-  ( ( ( ph  \/  ch )  ->  ps )  <->  ( ( ph  ->  ps )  /\  ( ch  ->  ps )
) )

Proof of Theorem jaob
StepHypRef Expression
1 ax-io 681 1  |-  ( ( ( ph  \/  ch )  ->  ps )  <->  ( ( ph  ->  ps )  /\  ( ch  ->  ps )
) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    <-> wb 104    \/ wo 680
This theorem was proved from axioms:  ax-io 681
This theorem is referenced by:  olc  683  orc  684  pm3.44  687  pm4.77  771  pm5.53  774  unss  3216  ralunb  3223  intun  3768  intpr  3769  relop  4649  indstr  9290  algcvgblem  11576  sqrt2irr  11686  bj-inf2vnlem1  12860
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