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Theorem u1lemnoa 660
Description: Lemma for Sasaki implication study.
Assertion
Ref Expression
u1lemnoa ((a ->1 b)' v a) = a
Proof of Theorem u1lemnoa
StepHypRef Expression
1 anor1 88 . . . 4 ((a ->1 b) ^ a') = ((a ->1 b)' v a)'
21ax-r1 35 . . 3 ((a ->1 b)' v a)' = ((a ->1 b) ^ a')
3 u1lemana 605 . . 3 ((a ->1 b) ^ a') = a'
42, 3ax-r2 36 . 2 ((a ->1 b)' v a)' = a'
54con1 66 1 ((a ->1 b)' v a) = a
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   v wo 6   ^ wa 7   ->1 wi1 12
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-a 40  df-i1 44
This theorem is referenced by:  u1lem1  734
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