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Theorem mccune3 248
Description: E3 - OL theorem proved by EQP
Assertion
Ref Expression
mccune3 ((((a' ^ b) v (a' ^ b')) v (a ^ (a' v b)))' v (a' v b)) = 1
Proof of Theorem mccune3
StepHypRef Expression
1 df-i3 46 . . . . 5 (a ->3 b) = (((a' ^ b) v (a' ^ b')) v (a ^ (a' v b)))
21ax-r1 35 . . . 4 (((a' ^ b) v (a' ^ b')) v (a ^ (a' v b))) = (a ->3 b)
32ax-r4 37 . . 3 (((a' ^ b) v (a' ^ b')) v (a ^ (a' v b)))' = (a ->3 b)'
43ax-r5 38 . 2 ((((a' ^ b) v (a' ^ b')) v (a ^ (a' v b)))' v (a' v b)) = ((a ->3 b)' v (a' v b))
5 ska15 244 . 2 ((a ->3 b)' v (a' v b)) = 1
64, 5ax-r2 36 1 ((((a' ^ b) v (a' ^ b')) v (a ^ (a' v b)))' v (a' v b)) = 1
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   v wo 6   ^ wa 7  1wt 8   ->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
This theorem depends on definitions:  df-a 40  df-t 41  df-f 42  df-i3 46  df-le1 130  df-le2 131
This theorem is referenced by: (None)
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