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Theorem falim 1299
Description: The truth value F. implies anything. Also called the principle of explosion, or "ex falso quodlibet". (Contributed by FL, 20-Mar-2011.) (Proof shortened by Anthony Hart, 1-Aug-2011.)
Assertion
Ref Expression
falim  |-  ( F. 
->  ph )

Proof of Theorem falim
StepHypRef Expression
1 fal 1292 . 2  |-  -. F.
21pm2.21i 608 1  |-  ( F. 
->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4   F. wfal 1290
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-in1 577  ax-in2 578
This theorem depends on definitions:  df-bi 115  df-tru 1288  df-fal 1291
This theorem is referenced by:  falimd  1300  falantru  1335  falimtru  1343  csbprc  3296
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