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Theorem comi32 510
Description: Commutation theorem. (Contributed by NM, 9-Nov-1997.)
Hypothesis
Ref Expression
comi32.1 a C b
Assertion
Ref Expression
comi32 a C (b3 a)

Proof of Theorem comi32
StepHypRef Expression
1 comi32.1 . 2 a C b
2 comid 187 . 2 a C a
31, 2com2i3 509 1 a C (b3 a)
Colors of variables: term
Syntax hints:   C wc 3  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:  u3lemc3  693
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