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Theorem orci 683
Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
orci.1  |-  ph
Assertion
Ref Expression
orci  |-  ( ph  \/  ps )

Proof of Theorem orci
StepHypRef Expression
1 orci.1 . 2  |-  ph
2 orc 666 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
31, 2ax-mp 7 1  |-  ( ph  \/  ps )
Colors of variables: wff set class
Syntax hints:    \/ wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  truorfal  1338  prid1g  3498  onsucelsucexmidlem1  4273  regexmidlemm  4277  nn0suc  4347  nndceq0  4359  0elnn  4360  acexmidlem2  5534  indpi  6583  nn1gt1  8128  nneoor  8519  mnfltpnf  8925  bcpasc  9779
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