---

Step * of Lemma integral-radd

∀[a,b:ℝ]. ∀[f,g:{f:[rmin(a;b), rmax(a;b)] ⟶ℝ| ifun(f;[rmin(a;b), rmax(a;b)])} ].
  (a_∫-b f[x] + g[x] dx = (a_∫-b f[x] dx + a_∫-b g[x] dx))
BY
{ (Auto THEN Unfold `integral` 0 THEN (RWO "Riemann-integral-radd" 0 THENA Auto) THEN nRNorm 0 THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[a,b:\mBbbR{}].  \mforall{}[f,g:\{f:[rmin(a;b),  rmax(a;b)]  {}\mrightarrow{}\mBbbR{}|  ifun(f;[rmin(a;b),  rmax(a;b)])\}  ].
    (a\_\mint{}\msupminus{}b  f[x]  +  g[x]  dx  =  (a\_\mint{}\msupminus{}b  f[x]  dx  +  a\_\mint{}\msupminus{}b  g[x]  dx))


By

---

Latex:
(Auto
  THEN  Unfold  `integral`  0
  THEN  (RWO  "Riemann-integral-radd"  0  THENA  Auto)
  THEN  nRNorm  0
  THEN  Auto)

---

Home Index