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Step * of Lemma mk_applies_lambdas2

∀[F,G:Top]. ∀[m:ℕ].  (mk_applies(mk_lambdas(F;m);G;m) ~ F)
BY
{ ((UnivCD THENA Auto)
   THEN RWO "mk_applies_lambdas" 0
   THEN Auto
   THEN (Subst ⌜m - m ~ 0⌝ 0⋅ THENA Auto)
   THEN RepUR ``mk_lambdas`` 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[F,G:Top].  \mforall{}[m:\mBbbN{}].    (mk\_applies(mk\_lambdas(F;m);G;m)  \msim{}  F)


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  RWO  "mk\_applies\_lambdas"  0
  THEN  Auto
  THEN  (Subst  \mkleeneopen{}m  -  m  \msim{}  0\mkleeneclose{}  0\mcdot{}  THENA  Auto)
  THEN  RepUR  ``mk\_lambdas``  0
  THEN  Auto)

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