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Theorem expdcom 1376
Description: Commuted form of expd 254. (Contributed by Alan Sare, 18-Mar-2012.)
Hypothesis
Ref Expression
expdcom.1  |-  ( ph  ->  ( ( ps  /\  ch )  ->  th )
)
Assertion
Ref Expression
expdcom  |-  ( ps 
->  ( ch  ->  ( ph  ->  th ) ) )

Proof of Theorem expdcom
StepHypRef Expression
1 expdcom.1 . . 3  |-  ( ph  ->  ( ( ps  /\  ch )  ->  th )
)
21expd 254 . 2  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
32com3l 80 1  |-  ( ps 
->  ( ch  ->  ( ph  ->  th ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 106
This theorem is referenced by:  nndi  6247  nnmass  6248  mulexp  9990  expadd  9993  expmul  9996
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