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Theorem i31 520
Description: Theorem for Kalmbach implication.
Assertion
Ref Expression
i31 (a ->3 1) = 1
Proof of Theorem i31
StepHypRef Expression
1 df-t 41 . . 3 1 = (a v a')
21li3 252 . 2 (a ->3 1) = (a ->3 (a v a'))
3 bina3 284 . 2 (a ->3 (a v a')) = 1
42, 3ax-r2 36 1 (a ->3 1) = 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:  i3aa  521  i3th4  546
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