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Theorem wdf-le2 379
Description: Define 'less than or equal to' analogue for == analogue of =.
Hypothesis
Ref Expression
wdf-le2.1 (a =<2 b) = 1
Assertion
Ref Expression
wdf-le2 ((a v b) == b) = 1
Proof of Theorem wdf-le2
StepHypRef Expression
1 df-le 129 . . 3 (a =<2 b) = ((a v b) == b)
21ax-r1 35 . 2 ((a v b) == b) = (a =<2 b)
3 wdf-le2.1 . 2 (a =<2 b) = 1
42, 3ax-r2 36 1 ((a v b) == b) = 1
Colors of variables: term
Syntax hints:   = wb 1   == tb 5   v wo 6  1wt 8   =<2 wle2 10
This theorem was proved from axioms:  ax-r1 35  ax-r2 36
This theorem depends on definitions:  df-le 129
This theorem is referenced by:  wom4  380  wdf2le2  386  wleror  393  wlecon  395  wletr  396  wbltr  397  wlebi  402
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