Theorem nom63 332

Description: Part of Lemma 3.3(15) from "Non-Orthomodular Models..." paper.

Assertion

Ref	Expression
nom63	(b ==3 (a v b)) = (a ->2 b)

Proof of Theorem nom63

Step	Hyp	Ref	Expression
1		nomb32 292	. 2 (b ==3 (a v b)) = ((a v b) ==2 b)
2		nom52 325	. 2 ((a v b) ==2 b) = (a ->2 b)
3	1, 2	ax-r2 35	1 (b ==3 (a v b)) = (a ->2 b)

Syntax hints:   = wb 1   v wo 6   ->2 wi2 14   ==2 wid2 20   ==3 wid3 21

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-t 40  df-f 41  df-i1 43  df-i2 44  df-id1 49  df-id2 50  df-id3 51  df-le1 122  df-le2 123

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