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Theorem jaob 641
Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. Alias of ax-io 640. (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 640 1  |-  ( ( ( ph  \/  ch )  ->  ps )  <->  ( ( ph  ->  ps )  /\  ( ch  ->  ps )
) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 101    <-> wb 102    \/ wo 639
This theorem was proved from axioms:  ax-io 640
This theorem is referenced by:  olc  642  orc  643  pm3.44  645  pm4.77  723  pm5.53  726  unss  3145  ralunb  3152  intun  3674  intpr  3675  relop  4514  indstr  8632  sqrt2irr  10251  algcvgblem  10271  bj-inf2vnlem1  10482
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