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Theorem u4lemc5 699
Description: Commutation theorem for non-tollens implication. (Contributed by NM, 11-Jan-1998.)
Hypothesis
Ref Expression
ulemc3.1 a C b
Assertion
Ref Expression
u4lemc5 a C (a4 b)

Proof of Theorem u4lemc5
StepHypRef Expression
1 comid 187 . 2 a C a
2 ulemc3.1 . 2 a C b
31, 2u4lemc2 689 1 a C (a4 b)
Colors of variables: term
Syntax hints:   C wc 3  4 wi4 15
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-i4 47  df-le1 130  df-le2 131  df-c1 132  df-c2 133
This theorem is referenced by: (None)
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