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Theorem u2lemnonb 676
Description: Lemma for Dishkant implication study.
Assertion
Ref Expression
u2lemnonb ((a ->2 b)' v b') = b'
Proof of Theorem u2lemnonb
StepHypRef Expression
1 df-a 40 . . . 4 ((a ->2 b) ^ b) = ((a ->2 b)' v b')'
21ax-r1 35 . . 3 ((a ->2 b)' v b')' = ((a ->2 b) ^ b)
3 u2lemab 611 . . 3 ((a ->2 b) ^ b) = b
42, 3ax-r2 36 . 2 ((a ->2 b)' v b')' = b
54con3 68 1 ((a ->2 b)' v b') = b'
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   v wo 6   ^ wa 7   ->2 wi2 13
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-i2 45
This theorem is referenced by: (None)
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