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Step * of Lemma remove_repeats_cons_lemma

∀v,u,eq:Top.  (remove-repeats(eq;[u / v]) ~ [u / filter(λx.(¬b(eq x u));remove-repeats(eq;v))])
BY
{ (UnivCD THENA Auto) }

1
1. v : Top@i
2. u : Top@i
3. eq : Top@i
⊢ remove-repeats(eq;[u / v]) ~ [u / filter(λx.(¬b(eq x u));remove-repeats(eq;v))]

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Latex:

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Latex:
\mforall{}v,u,eq:Top.    (remove-repeats(eq;[u  /  v])  \msim{}  [u  /  filter(\mlambda{}x.(\mneg{}\msubb{}(eq  x  u));remove-repeats(eq;v))])


By

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Latex:
(UnivCD  THENA  Auto)

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