Theorem leao1 154

Description: L.e. absorption.

Assertion

Ref	Expression
leao1	(a ∩ b) ≤ (a ∪ c)

Proof of Theorem leao1

Step	Hyp	Ref	Expression
1		lea 152	. 2 (a ∩ b) ≤ a
2		leo 150	. 2 a ≤ (a ∪ c)
3	1, 2	letr 129	1 (a ∩ b) ≤ (a ∪ c)

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

This theorem is referenced by:  biao 781  mlaconj4 826  negantlem9 841  neg3antlem2 847  elimconslem 849  mhlem 858  mh 861  mlaconjolem 867  mlaconjo 868

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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