Theorem leao3 164

Description: L.e. absorption.

Assertion

Ref	Expression
leao3	(a ∩ b) ≤ (c ∪ a)

Proof of Theorem leao3

Step	Hyp	Ref	Expression
1		lea 160	. 2 (a ∩ b) ≤ a
2		leor 159	. 2 a ≤ (c ∪ a)
3	1, 2	letr 137	1 (a ∩ b) ≤ (c ∪ a)

Syntax hints:   ≤ wle 2   ∪ wo 6   ∩ wa 7

This theorem is referenced by:  mhlem2 878  mh 879  marsdenlem4 883  mhcor1 888

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  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

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