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Theorem falimd 1346
Description: The truth value implies anything. (Contributed by Mario Carneiro, 9-Feb-2017.)
Assertion
Ref Expression
falimd ((𝜑 ∧ ⊥) → 𝜓)

Proof of Theorem falimd
StepHypRef Expression
1 falim 1345 . 2 (⊥ → 𝜓)
21adantl 275 1 ((𝜑 ∧ ⊥) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  wfal 1336
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 603  ax-in2 604
This theorem depends on definitions:  df-bi 116  df-tru 1334  df-fal 1337
This theorem is referenced by:  bj-axemptylem  13143
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