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Theorem orim1i 734
Description: Introduce disjunct to both sides of an implication. (Contributed by NM, 6-Jun-1994.)
Hypothesis
Ref Expression
orim1i.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
orim1i  |-  ( (
ph  \/  ch )  ->  ( ps  \/  ch ) )

Proof of Theorem orim1i
StepHypRef Expression
1 orim1i.1 . 2  |-  ( ph  ->  ps )
2 id 19 . 2  |-  ( ch 
->  ch )
31, 2orim12i 733 1  |-  ( (
ph  \/  ch )  ->  ( ps  \/  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 682
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 683
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  19.34  1647  dveeq2or  1772  sbequilem  1794  sbequi  1795  dvelimALT  1963  dvelimfv  1964  dvelimor  1971  r19.45av  2568  acexmidlemcase  5737  nnm1nn0  8986  triap  13151
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