Theorem wlea 370

Description: L.e. absorption.

Assertion

Ref	Expression
wlea	((a ∩ b) ≤2 a) = 1

Proof of Theorem wlea

Step	Hyp	Ref	Expression
1		wa2 184	. . 3 (((a ∩ b) ∪ a) ≡ (a ∪ (a ∩ b))) = 1
2		wa5b 192	. . 3 ((a ∪ (a ∩ b)) ≡ a) = 1
3	1, 2	wr2 353	. 2 (((a ∩ b) ∪ a) ≡ a) = 1
4	3	wdf-le1 360	1 ((a ∩ b) ≤2 a) = 1

Syntax hints:   = wb 1   ∪ wo 6   ∩ wa 7  1wt 9   ≤₂ wle2 11

This theorem is referenced by:  wledi 387  wcoman1 395  wcom3i 404  ska4 415

This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a3 31  ax-a4 32  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37  ax-wom 343

This theorem depends on definitions:  df-b 38  df-a 39  df-t 40  df-f 41  df-i1 43  df-i2 44  df-le 121  df-le1 122  df-le2 123

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