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Theorem prtlem1 26810
Description: Add a disjunct in the antecedent. (Contributed by Rodolfo Medina, 24-Sep-2010.)
Hypothesis
Ref Expression
prtlem1.1  |-  ( ps 
->  ( ch  ->  ph )
)
Assertion
Ref Expression
prtlem1  |-  ( (
ph  \/  ps )  ->  ( ch  ->  ph )
)

Proof of Theorem prtlem1
StepHypRef Expression
1 ax-1 5 . 2  |-  ( ph  ->  ( ch  ->  ph )
)
2 prtlem1.1 . 2  |-  ( ps 
->  ( ch  ->  ph )
)
31, 2jaoi 368 1  |-  ( (
ph  \/  ps )  ->  ( ch  ->  ph )
)
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 357
This theorem is referenced by:  prtlem14  26845
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-or 359
  Copyright terms: Public domain W3C validator