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Theorem skmp3 245
Description: Soundness proof for KMP3.
Hypotheses
Ref Expression
skmp3.1 a = 1
skmp3.2 (a ->3 b) = 1
Assertion
Ref Expression
skmp3 b = 1
Proof of Theorem skmp3
StepHypRef Expression
1 skmp3.1 . 2 a = 1
2 skmp3.2 . . 3 (a ->3 b) = 1
3 ska15 244 . . 3 ((a ->3 b)' v (a' v b)) = 1
42, 3skr0 242 . 2 (a' v b) = 1
51, 4skr0 242 1 b = 1
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   v wo 6  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:  i0i3tr  541  i3i0tr  542  i3th6  548
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