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Theorem a1i13 25611
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 22 . 2  |-  ( ps 
->  ( ch  ->  th )
)
32a1i 10 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem is referenced by:  comppfsc  25718
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
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