---

Step * of Lemma rsum-constant

∀[n,m:ℤ]. ∀[a:ℝ].  (Σ{a | n≤k≤m} = (a * Σ{r1 | n≤k≤m}))
BY
{ (Auto THEN RWO "rsum_linearity2<" 0 THEN Auto THEN nRNorm 0 THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[n,m:\mBbbZ{}].  \mforall{}[a:\mBbbR{}].    (\mSigma{}\{a  |  n\mleq{}k\mleq{}m\}  =  (a  *  \mSigma{}\{r1  |  n\mleq{}k\mleq{}m\}))


By

---

Latex:
(Auto  THEN  RWO  "rsum\_linearity2<"  0  THEN  Auto  THEN  nRNorm  0  THEN  Auto)

---

Home Index