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Theorem se-du-elim 205
Description: {se du} may be replaced with {du}. Theorem Cat.Allegory.Base.dual-id in [1Lab] p. 0. (Contributed by la korvo, 9-Jul-2023.)
Hypothesis
Ref Expression
se-du-elim.0ko'a se du ko'e
Assertion
Ref Expression
se-du-elimko'a du ko'e

Proof of Theorem se-du-elim
StepHypRef Expression
1 se-du-elim.0 . . 3ko'a se du ko'e
21sei 169 . 2ko'e du ko'a
32du-sym 204 1ko'a du ko'e
Colors of variables: sumti selbri bridi
Syntax hints:  du sbdu 196
This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 14  ax-ge-le 34  ax-ge-re 35  ax-ge-in 36  ax-gen2 180  ax-spec2 183  ax-qi2 188
This theorem depends on definitions:  df-go 52  df-o 153  df-se 168  df-du 197
This theorem is referenced by: (None)
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