QLE Home Quantum Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  QLE Home  >  Th. List  >  lem3a.1 Unicode version
Theorem lem3a.1 444
Description: Lemma used in proof of Th. 3.1 of Pavicic 1993.
Hypotheses
Ref Expression
lem3.1.1 (a v b) = b
lem3.1.2 (b' v a) = 1
Assertion
Ref Expression
lem3a.1 (a v b) = a
Proof of Theorem lem3a.1
StepHypRef Expression
1 lem3.1.1 . . . . 5 (a v b) = b
2 lem3.1.2 . . . . 5 (b' v a) = 1
31, 2lem3.1 443 . . . 4 a = b
43ax-r1 35 . . 3 b = a
54lor 70 . 2 (a v b) = (a v a)
6 oridm 110 . 2 (a v a) = a
75, 6ax-r2 36 1 (a v b) = a
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   v wo 6  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  ax-r3 439
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator