QLE Home Quantum Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  QLE Home  >  Th. List  >  lem3.4.5 Unicode version
Theorem lem3.4.5 1078
Description: Equation 3.13 of [PavMeg1999] p. 9. (Contributed by Roy F. Longton, 3-Jul-05.)
Hypothesis
Ref Expression
lem3.4.5.1 (a ==5 b) = 1
Assertion
Ref Expression
lem3.4.5 (a ->2 (b v c)) = 1
Proof of Theorem lem3.4.5
StepHypRef Expression
1 lem3.4.5.1 . . 3 (a ==5 b) = 1
21lem3.3.5 1055 . 2 (a ->1 (b v c)) = 1
322vwomr1a 363 1 (a ->2 (b v c)) = 1
Colors of variables: term
Syntax hints:   = wb 1   v wo 6  1wt 8   ->2 wi2 13   ==5 wid5 22
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-wom 361
This theorem depends on definitions:  df-a 40  df-t 41  df-f 42  df-i0 43  df-i1 44  df-i2 45  df-le1 130  df-le2 131  df-id5 1047  df-b1 1048
This theorem is referenced by:  lem3.4.6  1079
  Copyright terms: Public domain W3C validator