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Theorem u3lem12 788
Description: Lemma for unified implication study.
Assertion
Ref Expression
u3lem12 (a ->3 (a ->3 b'))' = (a ^ b)
Proof of Theorem u3lem12
StepHypRef Expression
1 lem4 511 . . 3 (a ->3 (a ->3 b')) = (a' v b')
21ax-r4 37 . 2 (a ->3 (a ->3 b'))' = (a' v b')'
3 df-a 40 . . 3 (a ^ b) = (a' v b')'
43ax-r1 35 . 2 (a' v b')' = (a ^ b)
52, 4ax-r2 36 1 (a ->3 (a ->3 b'))' = (a ^ b)
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   v wo 6   ^ wa 7   ->3 wi3 14
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-r3 439
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i3 46  df-le1 130  df-le2 131  df-c1 132  df-c2 133
This theorem is referenced by: (None)
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