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Theorem lem3.3.2 1046
Description: Equation 3.2 of [PavMeg1999] p. 9. (Contributed by Roy F. Longton, 27-Jun-2005.) (Revised by Roy F. Longton, 3-Jul-2005.)
Hypotheses
Ref Expression
lem3.3.2.1 a = 1
lem3.3.2.2 (a0 b) = 1
Assertion
Ref Expression
lem3.3.2 b = 1

Proof of Theorem lem3.3.2
StepHypRef Expression
1 lem3.3.2.1 . 2 a = 1
2 df-i0 43 . . . 4 (a0 b) = (ab)
32ax-r1 35 . . 3 (ab) = (a0 b)
4 lem3.3.2.2 . . 3 (a0 b) = 1
53, 4ax-r2 36 . 2 (ab) = 1
61, 5skr0 242 1 b = 1
Colors of variables: term
Syntax hints:   = wb 1   wn 4  wo 6  1wt 8  0 wi0 11
This theorem was proved from axioms:  ax-a2 31  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-t 41  df-f 42  df-i0 43
This theorem is referenced by:  lem3.3.5  1055
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