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Theorem exp44 365
Description: An exportation inference. (Contributed by NM, 26-Apr-1994.)
Hypothesis
Ref Expression
exp44.1  |-  ( (
ph  /\  ( ( ps  /\  ch )  /\  th ) )  ->  ta )
Assertion
Ref Expression
exp44  |-  ( ph  ->  ( ps  ->  ( ch  ->  ( th  ->  ta ) ) ) )

Proof of Theorem exp44
StepHypRef Expression
1 exp44.1 . . 3  |-  ( (
ph  /\  ( ( ps  /\  ch )  /\  th ) )  ->  ta )
21exp32 357 . 2  |-  ( ph  ->  ( ( ps  /\  ch )  ->  ( th 
->  ta ) ) )
32expd 254 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  ( th  ->  ta ) ) ) )
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: (None)
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