Theorem gomaex3h9 910

Description: Hypothesis for Godowski 6-var -> Mayet Example 3.

Hypotheses

Ref	Expression
gomaex3h9.20	w = q'
gomaex3h9.21	x = q

Assertion

Ref	Expression
gomaex3h9	w =< x'

Proof of Theorem gomaex3h9

Step	Hyp	Ref	Expression
1		leid 148	. 2 q' =< q'
2		gomaex3h9.20	. 2 w = q'
3		gomaex3h9.21	. . 3 x = q
4	3	ax-r4 37	. 2 x' = q'
5	1, 2, 4	le3tr1 140	1 w =< x'

Syntax hints:   = wb 1   =< wle 2  'wn 4

This theorem is referenced by:  gomaex3lem5 918

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-t 41  df-f 42  df-le1 130  df-le2 131

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