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Theorem gomaex3h12 913
Description: Hypothesis for Godowski 6-var -> Mayet Example 3. (Contributed by NM, 29-Nov-1999.)
Hypotheses
Ref Expression
gomaex3h12.6 fa
gomaex3h12.12 g = a
gomaex3h12.23 z = f
Assertion
Ref Expression
gomaex3h12 zg

Proof of Theorem gomaex3h12
StepHypRef Expression
1 gomaex3h12.6 . 2 fa
2 gomaex3h12.23 . 2 z = f
3 gomaex3h12.12 . . 3 g = a
43ax-r4 37 . 2 g = a
51, 2, 4le3tr1 140 1 zg
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
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