Theorem leao2 155

Description: L.e. absorption.

Assertion

Ref	Expression
leao2	(b ∩ a) ≤ (a ∪ c)

Proof of Theorem leao2

Step	Hyp	Ref	Expression
1		lear 153	. 2 (b ∩ a) ≤ a
2		leo 150	. 2 a ≤ (a ∪ c)
3	1, 2	letr 129	1 (b ∩ a) ≤ (a ∪ c)

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

This theorem is referenced by:  bi4 822  negantlem10 843  mhlem1 859  mhlem2 860  mh 861  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

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