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Theorem a1i13 25532
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 4-Aug-2009.)
Hypothesis
Ref Expression
a1i13.1  |-  ( ps 
->  th )
Assertion
Ref Expression
a1i13  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )

Proof of Theorem a1i13
StepHypRef Expression
1 a1i13.1 . . 3  |-  ( ps 
->  th )
21a1d 24 . 2  |-  ( ps 
->  ( ch  ->  th )
)
32a1i 12 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6
This theorem is referenced by:  comppfsc  25639
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-mp 10
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