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Theorem i3lem2 505
Description: Lemma for Kalmbach implication.
Hypothesis
Ref Expression
i3lem.1 (a ->3 b) = 1
Assertion
Ref Expression
i3lem2 a C b
Proof of Theorem i3lem2
StepHypRef Expression
1 i3lem.1 . . . . . 6 (a ->3 b) = 1
21i3lem1 504 . . . . 5 ((a' ^ b) v (a' ^ b')) = a'
32ax-r1 35 . . . 4 a' = ((a' ^ b) v (a' ^ b'))
43df-c1 132 . . 3 a' C b
54comcom2 183 . 2 a' C b'
65comcom5 458 1 a C b
Colors of variables: term
Syntax hints:   = wb 1   C wc 3  '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  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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