Theorem leao3 156

Description: L.e. absorption.

Assertion

Ref	Expression
leao3	(a ^ b) =< (c v a)

Proof of Theorem leao3

Step	Hyp	Ref	Expression
1		lea 152	. 2 (a ^ b) =< a
2		leor 151	. 2 a =< (c v a)
3	1, 2	letr 129	1 (a ^ b) =< (c v a)

Syntax hints:   =< wle 2   v wo 6   ^ wa 7

This theorem is referenced by:  mhlem2 860  mh 861  marsdenlem4 865  mhcor1 870

This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a3 31  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-a 39  df-le1 122  df-le2 123

metamath.org