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Theorem orabs 727
Description: Absorption of redundant internal disjunct. Compare Theorem *4.45 of [WhiteheadRussell] p. 119. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 28-Feb-2014.)
Assertion
Ref Expression
orabs  |-  ( ph  <->  ( ( ph  \/  ps )  /\  ph ) )

Proof of Theorem orabs
StepHypRef Expression
1 orc 633 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
21pm4.71ri 372 1  |-  ( ph  <->  ( ( ph  \/  ps )  /\  ph ) )
Colors of variables: wff set class
Syntax hints:    /\ wa 97    <-> wb 98    \/ 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: (None)
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