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Step * of Lemma integral-rmul-const

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

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Latex:

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


By

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

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