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Theorem falantru 1498
Description: A identity. (Contributed by Anthony Hart, 22-Oct-2010.)
Assertion
Ref Expression
falantru ((⊥ ∧ ⊤) ↔ ⊥)

Proof of Theorem falantru
StepHypRef Expression
1 fal 1481 . . 3 ¬ ⊥
21intnanr 951 . 2 ¬ (⊥ ∧ ⊤)
32bifal 1487 1 ((⊥ ∧ ⊤) ↔ ⊥)
Colors of variables: wff setvar class
Syntax hints:  wb 194  wa 382  wtru 1475  wfal 1479
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 195  df-an 384  df-tru 1477  df-fal 1480
This theorem is referenced by: (None)
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