Step * of Lemma integral-int-rmul

[a,b:ℝ]. ∀[f:{f:[rmin(a;b), rmax(a;b)] ⟶ℝifun(f;[rmin(a;b), rmax(a;b)])} ]. ∀[c:ℤ].
  (a_∫-f[x] dx a_∫-f[x] dx)
BY
(Auto THEN RWO  "int-rmul-req" THEN Auto) }


Latex:


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:\mBbbZ{}].
    (a\_\mint{}\msupminus{}b  c  *  f[x]  dx  =  c  *  a\_\mint{}\msupminus{}b  f[x]  dx)


By


Latex:
(Auto  THEN  RWO    "int-rmul-req"  0  THEN  Auto)




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