QLE Home Quantum Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  QLE Home  >  Th. List  >  gomaex3h1 GIF version

Theorem gomaex3h1 902
Description: Hypothesis for Godowski 6-var -> Mayet Example 3. (Contributed by NM, 29-Nov-1999.)
Hypotheses
Ref Expression
gomaex3h1.1 ab
gomaex3h1.12 g = a
gomaex3h1.13 h = b
Assertion
Ref Expression
gomaex3h1 gh

Proof of Theorem gomaex3h1
StepHypRef Expression
1 gomaex3h1.1 . 2 ab
2 gomaex3h1.12 . 2 g = a
3 gomaex3h1.13 . . 3 h = b
43ax-r4 37 . 2 h = b
51, 2, 4le3tr1 140 1 gh
Colors of variables: term
Syntax hints:   = wb 1  wle 2   wn 4
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-a 40  df-le1 130  df-le2 131
This theorem is referenced by:  gomaex3lem5  918
  Copyright terms: Public domain W3C validator