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Theorem 3imp231 28932
Description: Importation inference. (Contributed by Alan Sare, 17-Oct-2017.)
Hypothesis
Ref Expression
3imp231.1  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
Assertion
Ref Expression
3imp231  |-  ( ( ps  /\  ch  /\  ph )  ->  th )

Proof of Theorem 3imp231
StepHypRef Expression
1 3imp231.1 . . 3  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
21com3l 78 . 2  |-  ( ps 
->  ( ch  ->  ( ph  ->  th ) ) )
323imp 1148 1  |-  ( ( ps  /\  ch  /\  ph )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 937
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 179  df-an 362  df-3an 939
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