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Theorem 3imp21 28633
Description: The importation inference 3imp 1145 with commutation of the first and second conjuncts of the assertion relative to the hypothesis. (Contributed by Alan Sare, 11-Sep-2016.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
3imp21.1  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
Assertion
Ref Expression
3imp21  |-  ( ( ps  /\  ph  /\  ch )  ->  th )

Proof of Theorem 3imp21
StepHypRef Expression
1 3imp21.1 . . 3  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
213imp 1145 . 2  |-  ( (
ph  /\  ps  /\  ch )  ->  th )
323com12 1155 1  |-  ( ( ps  /\  ph  /\  ch )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934
This theorem is referenced by:  a9e2ndeqALT  29024
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936
  Copyright terms: Public domain W3C validator