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Theorem wr3 198
Description: Weak R3.
Hypothesis
Ref Expression
wr3.1 (1 == a) = 1
Assertion
Ref Expression
wr3 a = 1

Proof of Theorem wr3
StepHypRef Expression
1 1b 117 . . 3 (1 == a) = a
21ax-r1 35 . 2 a = (1 == a)
3 wr3.1 . 2 (1 == a) = 1
42, 3ax-r2 36 1 a = 1
Colors of variables: term
Syntax hints:   = wb 1   == tb 5  1wt 8
This theorem is referenced by:  wwbmp  205  wdf-c1  383
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
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