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Theorem wwbmpr 206
Description: Weak weak equivalential detachment (WBMP). (Contributed by NM, 24-Sep-1997.)
Hypotheses
Ref Expression
wwbmpr.1 b = 1
wwbmpr.2 (ab) = 1
Assertion
Ref Expression
wwbmpr a = 1

Proof of Theorem wwbmpr
StepHypRef Expression
1 wwbmpr.1 . 2 b = 1
2 wwbmpr.2 . . 3 (ab) = 1
32wr1 197 . 2 (ba) = 1
41, 3wwbmp 205 1 a = 1
Colors of variables: term
Syntax hints:   = wb 1  tb 5  1wt 8
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42
This theorem is referenced by:  wr2  371  wlem14  430  ska2  432  ska4  433  i3aa  521  bi3tr  527
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