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Theorem wlea 388
Description: L.e. absorption.
Assertion
Ref Expression
wlea ((a ^ b) =<2 a) = 1
Proof of Theorem wlea
StepHypRef Expression
1 wa2 192 . . 3 (((a ^ b) v a) == (a v (a ^ b))) = 1
2 wa5b 200 . . 3 ((a v (a ^ b)) == a) = 1
31, 2wr2 371 . 2 (((a ^ b) v a) == a) = 1
43wdf-le1 378 1 ((a ^ b) =<2 a) = 1
Colors of variables: term
Syntax hints:   = wb 1   v wo 6   ^ wa 7  1wt 8   =<2 wle2 10
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-wom 361
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i1 44  df-i2 45  df-le 129  df-le1 130  df-le2 131
This theorem is referenced by:  wledi  405  wcoman1  413  wcom3i  422  ska4  433
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