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Theorem falantru 1338
Description: A identity. (Contributed by Anthony Hart, 22-Oct-2010.)
Assertion
Ref Expression
falantru (( ⊥ ⊤ ) ↔ ⊥ )

Proof of Theorem falantru
StepHypRef Expression
1 fal 1322 . . 3 ¬ ⊥
21intnanr 881 . 2 ¬ ( ⊥ ⊤ )
32bifal 1327 1 (( ⊥ ⊤ ) ↔ ⊥ )
Colors of variables: wff setvar class
Syntax hints:  wb 176   wa 358  wtru 1316  wfal 1317
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-fal 1320
This theorem is referenced by: (None)
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