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Theorem nom33 322
Description: Part of Lemma 3.3(14) from "Non-Orthomodular Models..." paper.
Assertion
Ref Expression
nom33 ((a ^ b) ==3 a) = (a ->1 b)
Proof of Theorem nom33
StepHypRef Expression
1 nomb32 300 . 2 ((a ^ b) ==3 a) = (a ==2 (a ^ b))
2 nom22 315 . 2 (a ==2 (a ^ b)) = (a ->1 b)
31, 2ax-r2 36 1 ((a ^ b) ==3 a) = (a ->1 b)
Colors of variables: term
Syntax hints:   = wb 1   ^ wa 7   ->1 wi1 12   ==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-id2 51  df-id3 52  df-le1 130  df-le2 131
This theorem is referenced by: (None)
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