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Theorem i3orcom 525
Description: Commutative law for conjunction with Kalmbach implication.
Assertion
Ref Expression
i3orcom ((a v b) ->3 (b v a)) = 1
Proof of Theorem i3orcom
StepHypRef Expression
1 i3id 251 . 2 ((b v a) ->3 (b v a)) = 1
2 ax-a2 31 . . . 4 (b v a) = (a v b)
32ri3 253 . . 3 ((b v a) ->3 (b v a)) = ((a v b) ->3 (b v a))
43bi1 118 . 2 (((b v a) ->3 (b v a)) == ((a v b) ->3 (b v a))) = 1
51, 4wwbmp 205 1 ((a v b) ->3 (b v a)) = 1
Colors of variables: term
Syntax hints:   = wb 1   v wo 6  1wt 8   ->3 wi3 14
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i3 46
This theorem is referenced by:  i3lor  533
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