Theorem woml 211

Description: Theorem structurally similar to orthomodular law but does not require R3.

Assertion

Ref	Expression
woml	((a v (a' ^ (a v b))) == (a v b)) = 1

Proof of Theorem woml

Step	Hyp	Ref	Expression
1		omlem1 127	. 2 ((a v (a' ^ (a v b))) v (a v b)) = (a v b)
2		omlem2 128	. 2 ((a v b)' v (a v (a' ^ (a v b)))) = 1
3	1, 2	wlem3.1 210	1 ((a v (a' ^ (a v b))) == (a v b)) = 1

Syntax hints:   = wb 1  'wn 4   == tb 5   v wo 6   ^ wa 7  1wt 8

This theorem is referenced by:  wwoml2 212  ska11 239  wom4 380

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42

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