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Theorem gomaex3h11 912
Description: Hypothesis for Godowski 6-var -> Mayet Example 3.
Hypotheses
Ref Expression
gomaex3h11.22 y = (e v f)'
gomaex3h11.23 z = f
Assertion
Ref Expression
gomaex3h11 y =< z'

Proof of Theorem gomaex3h11
StepHypRef Expression
1 leor 159 . . 3 f =< (e v f)
21lecon 154 . 2 (e v f)' =< f'
3 gomaex3h11.22 . 2 y = (e v f)'
4 gomaex3h11.23 . . 3 z = f
54ax-r4 37 . 2 z' = f'
62, 3, 5le3tr1 140 1 y =< z'
Colors of variables: term
Syntax hints:   = wb 1   =< wle 2  'wn 4   v wo 6
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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