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Theorem falnanfal 1574
Description: A identity. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Andrew Salmon, 13-May-2011.)
Assertion
Ref Expression
falnanfal ((⊥ ⊼ ⊥) ↔ ⊤)

Proof of Theorem falnanfal
StepHypRef Expression
1 nannot 1485 . 2 (¬ ⊥ ↔ (⊥ ⊼ ⊥))
2 notfal 1558 . 2 (¬ ⊥ ↔ ⊤)
31, 2bitr3i 278 1 ((⊥ ⊼ ⊥) ↔ ⊤)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wb 207  wnan 1477  wtru 1531  wfal 1542
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 208  df-an 397  df-nan 1478  df-tru 1533  df-fal 1543
This theorem is referenced by: (None)
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