Theorem gomaex3h9 890

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 140	. 2 q_|_ =< q_|_
2		gomaex3h9.20	. 2 w = q_|_
3		gomaex3h9.21	. . 3 x = q
4	3	ax-r4 36	. 2 x_|_ = q_|_
5	1, 2, 4	le3tr1 132	1 w =< x_|_

Syntax hints:   = wb 1   =< wle 2  _|_wn 4

This theorem is referenced by:  gomaex3lem5 898

This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-a 39  df-t 40  df-f 41  df-le1 122  df-le2 123

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