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Theorem lem3.1 443
Description: Lemma used in proof of Th. 3.1 of Pavicic 1993.
Hypotheses
Ref Expression
lem3.1.1 (a v b) = b
lem3.1.2 (b' v a) = 1
Assertion
Ref Expression
lem3.1 a = b
Proof of Theorem lem3.1
StepHypRef Expression
1 lem3.1.1 . . . 4 (a v b) = b
2 lem3.1.2 . . . 4 (b' v a) = 1
31, 2wlem3.1 210 . . 3 (a == b) = 1
43ax-r1 35 . 2 1 = (a == b)
54r3a 440 1 a = b
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   == tb 5   v wo 6  1wt 8
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  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
This theorem is referenced by:  lem3a.1  444  oml  445  cmtr1com  493  i0cmtrcom  495  oaidlem2  931  oaidlem2g  932
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