Theorem wleo 369

Description: L.e. absorption.

Assertion

Ref	Expression
wleo	(a ≤2 (a ∪ b)) = 1

Proof of Theorem wleo

Step	Hyp	Ref	Expression
1		wa5c 193	. 2 ((a ∩ (a ∪ b)) ≡ a) = 1
2	1	wdf2le1 367	1 (a ≤2 (a ∪ b)) = 1

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

This theorem is referenced by:  wledio 388  wcomorr 394  wlem14 412  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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