---

Step * of Lemma derivative-minus

∀I:Interval. ∀f,g:I ⟶ℝ.  (λx.g[x] = d(f[x])/dx on I ⇒ λx.-(g[x]) = d(-(f[x]))/dx on I)
BY
{ ((InstLemma `derivative-const-mul` [⌜r(-1)⌝]⋅ THENA Auto)
   THEN RepeatFor 4 (ParallelLast')
   THEN Auto
   THEN DerivativeFunctionality (-1)
   THEN Auto
   THEN nRNorm 0
   THEN Auto) }

---

Latex:

---

Latex:
\mforall{}I:Interval.  \mforall{}f,g:I  {}\mrightarrow{}\mBbbR{}.    (\mlambda{}x.g[x]  =  d(f[x])/dx  on  I  {}\mRightarrow{}  \mlambda{}x.-(g[x])  =  d(-(f[x]))/dx  on  I)


By

---

Latex:
((InstLemma  `derivative-const-mul`  [\mkleeneopen{}r(-1)\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  RepeatFor  4  (ParallelLast')
  THEN  Auto
  THEN  DerivativeFunctionality  (-1)
  THEN  Auto
  THEN  nRNorm  0
  THEN  Auto)

---

Home Index