---

Step * of Lemma fps-deriv-ucont

∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[r:CRng].  ∀x:X. fps-ucont(X;eq;r;f.df/dx)
BY
{ (Auto
   THEN D 0
   THEN Auto
   THEN D 0 With ⌜x.b⌝ 
   THEN Auto
   THEN Unfold `fps-restrict` 0
   THEN Unfold `fps-deriv` 0
   THEN RepUR ``fps-coeff`` 0
   THEN AutoSplit) }

---

Latex:

---

Latex:
\mforall{}[X:Type].  \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].    \mforall{}x:X.  fps-ucont(X;eq;r;f.df/dx)


By

---

Latex:
(Auto
  THEN  D  0
  THEN  Auto
  THEN  D  0  With  \mkleeneopen{}x.b\mkleeneclose{} 
  THEN  Auto
  THEN  Unfold  `fps-restrict`  0
  THEN  Unfold  `fps-deriv`  0
  THEN  RepUR  ``fps-coeff``  0
  THEN  AutoSplit)

---

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