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Theorem falxortru 1570
Description: A identity. (Contributed by David A. Wheeler, 9-May-2015.) (Proof shortened by Wolf Lammen, 10-Jul-2020.)
Assertion
Ref Expression
falxortru ((⊥ ⊻ ⊤) ↔ ⊤)

Proof of Theorem falxortru
StepHypRef Expression
1 xorcom 1507 . 2 ((⊥ ⊻ ⊤) ↔ (⊤ ⊻ ⊥))
2 truxorfal 1569 . 2 ((⊤ ⊻ ⊥) ↔ ⊤)
31, 2bitri 264 1 ((⊥ ⊻ ⊤) ↔ ⊤)
Colors of variables: wff setvar class
Syntax hints:  wb 196  wxo 1504  wtru 1524  wfal 1528
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 197  df-xor 1505  df-tru 1526  df-fal 1529
This theorem is referenced by: (None)
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