QLE Home Quantum Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  QLE Home  >  Th. List  >  ska10 Unicode version

Theorem ska10 238
Description: Soundness theorem for Kalmbach's quantum propositional logic axiom KA10.
Assertion
Ref Expression
ska10 ((a v b)' == (a' ^ b')) = 1

Proof of Theorem ska10
StepHypRef Expression
1 oran 87 . . 3 (a v b) = (a' ^ b')'
21con2 67 . 2 (a v b)' = (a' ^ b')
32bi1 118 1 ((a v b)' == (a' ^ b')) = 1
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   == tb 5   v wo 6   ^ wa 7  1wt 8
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42
  Copyright terms: Public domain W3C validator