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Step * 1 of Lemma remove_repeats_cons_lemma


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))]
BY
{ Try (RW (AddrC [1] (UnfoldC `remove-repeats` ANDTHENC ReduceC)) 0)⋅ }

1
1. v : Top@i
2. u : Top@i
3. eq : Top@i
⊢ [u / filter(λx.(¬b(eq x u));rec-case(v) of [] => [] | h::t => r.[h / filter(λx.(¬b(eq x h));r)])] 
~ [u / filter(λx.(¬b(eq x u));remove-repeats(eq;v))]

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Latex:

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Latex:

1.  v  :  Top@i
2.  u  :  Top@i
3.  eq  :  Top@i
\mvdash{}  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:
Try  (RW  (AddrC  [1]  (UnfoldC  `remove-repeats`  ANDTHENC  ReduceC))  0)\mcdot{}

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