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Step * of Lemma derivative-int-rdiv

∀a:ℤ-o. ∀I:Interval. ∀f,f':I ⟶ℝ.  (d(f[x])/dx = λx.f'[x] on I ⇒ d((f[x])/a)/dx = λx.(f'[x])/a on I)
BY
{ (Auto
   THEN (InstLemma `derivative-rdiv-const` [⌜r(a)⌝;⌜I⌝;⌜f⌝;⌜f'⌝]⋅ THENA Auto)
   THEN DerivativeFunctionality (-1)
   THEN Auto
   THEN RWO  "int-rdiv-req" 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}a:\mBbbZ{}\msupminus{}\msupzero{}.  \mforall{}I:Interval.  \mforall{}f,f':I  {}\mrightarrow{}\mBbbR{}.
    (d(f[x])/dx  =  \mlambda{}x.f'[x]  on  I  {}\mRightarrow{}  d((f[x])/a)/dx  =  \mlambda{}x.(f'[x])/a  on  I)


By

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Latex:
(Auto
  THEN  (InstLemma  `derivative-rdiv-const`  [\mkleeneopen{}r(a)\mkleeneclose{};\mkleeneopen{}I\mkleeneclose{};\mkleeneopen{}f\mkleeneclose{};\mkleeneopen{}f'\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  DerivativeFunctionality  (-1)
  THEN  Auto
  THEN  RWO    "int-rdiv-req"  0
  THEN  Auto)

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