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Theorem falimd 1378
Description: The truth value F. implies anything. (Contributed by Mario Carneiro, 9-Feb-2017.)
Assertion
Ref Expression
falimd  |-  ( (
ph  /\ F.  )  ->  ps )

Proof of Theorem falimd
StepHypRef Expression
1 falim 1377 . 2  |-  ( F. 
->  ps )
21adantl 277 1  |-  ( (
ph  /\ F.  )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 104   F. wfal 1368
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-in1 615  ax-in2 616
This theorem depends on definitions:  df-bi 117  df-tru 1366  df-fal 1369
This theorem is referenced by:  bj-axemptylem  14997
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