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Theorem wcon1 207
Description: Weak contraposition.
Hypothesis
Ref Expression
wcon1.1 (a' == b') = 1
Assertion
Ref Expression
wcon1 (a == b) = 1
Proof of Theorem wcon1
StepHypRef Expression
1 conb 122 . 2 (a == b) = (a' == b')
2 wcon1.1 . 2 (a' == b') = 1
31, 2ax-r2 36 1 (a == b) = 1
Colors of variables: term
Syntax hints:   = wb 1  'wn 4   == tb 5  1wt 8
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
This theorem is referenced by:  wcon3  209  wfh3  425  wfh4  426
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