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Theorem jao1i 743
Description: Add a disjunct in the antecedent of an implication. (Contributed by Rodolfo Medina, 24-Sep-2010.)
Hypothesis
Ref Expression
jao1i.1  |-  ( ps 
->  ( ch  ->  ph )
)
Assertion
Ref Expression
jao1i  |-  ( (
ph  \/  ps )  ->  ( ch  ->  ph )
)

Proof of Theorem jao1i
StepHypRef Expression
1 ax-1 5 . 2  |-  ( ph  ->  ( ch  ->  ph )
)
2 jao1i.1 . 2  |-  ( ps 
->  ( ch  ->  ph )
)
31, 2jaoi 669 1  |-  ( (
ph  \/  ps )  ->  ( ch  ->  ph )
)
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  nn0enne  10509
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