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Theorem wr4 199
Description: Weak R4.
Hypothesis
Ref Expression
wr4.1 (a == b) = 1
Assertion
Ref Expression
wr4 (a' == b') = 1

Proof of Theorem wr4
StepHypRef Expression
1 conb 122 . . 3 (a == b) = (a' == b')
21ax-r1 35 . 2 (a' == b') = (a == b)
3 wr4.1 . 2 (a == b) = 1
42, 3ax-r2 36 1 (a' == b') = 1
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   == tb 5  1wt 8
This theorem is referenced by:  wran  369  wr2  371  wcomlem  382  wcbtr  411  wcomdr  421  wfh2  424  wfh3  425  wfh4  426  woml7  437
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-b 39  df-a 40
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