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Theorem pm2.621 737
Description: Theorem *2.621 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Revised by NM, 13-Dec-2013.)
Assertion
Ref Expression
pm2.621  |-  ( (
ph  ->  ps )  -> 
( ( ph  \/  ps )  ->  ps )
)

Proof of Theorem pm2.621
StepHypRef Expression
1 id 19 . 2  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ps )
)
2 idd 21 . 2  |-  ( (
ph  ->  ps )  -> 
( ps  ->  ps ) )
31, 2jaod 707 1  |-  ( (
ph  ->  ps )  -> 
( ( ph  \/  ps )  ->  ps )
)
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 698
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 699
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  pm2.62  738  pm2.73  796  pm4.72  813  undif4  3429
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