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Theorem nom62 339
Description: Part of Lemma 3.3(15) from "Non-Orthomodular Models..." paper.
Assertion
Ref Expression
nom62 (b ==2 (a v b)) = (a ->2 b)
Proof of Theorem nom62
StepHypRef Expression
1 nomb32 300 . . 3 ((a v b) ==3 b) = (b ==2 (a v b))
21ax-r1 35 . 2 (b ==2 (a v b)) = ((a v b) ==3 b)
3 nom53 334 . 2 ((a v b) ==3 b) = (a ->2 b)
42, 3ax-r2 36 1 (b ==2 (a v b)) = (a ->2 b)
Colors of variables: term
Syntax hints:   = wb 1   v wo 6   ->2 wi2 13   ==2 wid2 19   ==3 wid3 20
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-a 40  df-t 41  df-f 42  df-i1 44  df-i2 45  df-id1 50  df-id2 51  df-id3 52  df-id4 53  df-le1 130  df-le2 131
This theorem is referenced by: (None)
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