Step
*
of Lemma
mk_applies_unroll
∀[F,G:Top]. ∀[m:ℕ+]. (mk_applies(F;G;m) ~ mk_applies(F;G;m - 1) (G (m - 1)))
BY
{ (Auto
THEN UnfoldAtAddr [1] 0
THEN (RWO "primrec-unroll" 0 THENA Auto)
THEN AutoSplit
THEN Fold `mk_applies` 0
THEN Auto) }
Latex:
Latex:
\mforall{}[F,G:Top]. \mforall{}[m:\mBbbN{}\msupplus{}]. (mk\_applies(F;G;m) \msim{} mk\_applies(F;G;m - 1) (G (m - 1)))
By
Latex:
(Auto
THEN UnfoldAtAddr [1] 0
THEN (RWO "primrec-unroll" 0 THENA Auto)
THEN AutoSplit
THEN Fold `mk\_applies` 0
THEN Auto)
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