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Theorem nomcon4 305
Description: Lemma for "Non-Orthomodular Models..." paper.
Assertion
Ref Expression
nomcon4 (a ==4 b) = (b' ==3 a')
Proof of Theorem nomcon4
StepHypRef Expression
1 nomcon1 302 . 2 (b ==1 a) = (a' ==2 b')
2 nomb41 299 . 2 (a ==4 b) = (b ==1 a)
3 nomb32 300 . 2 (b' ==3 a') = (a' ==2 b')
41, 2, 33tr1 63 1 (a ==4 b) = (b' ==3 a')
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   ==1 wid1 18   ==2 wid2 19   ==3 wid3 20   ==4 wid4 21
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-a 40  df-id1 50  df-id2 51  df-id3 52  df-id4 53
This theorem is referenced by:  nom54  335
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