Step
*
of Lemma
integral-int-rmul
∀[a,b:ℝ]. ∀[f:{f:[rmin(a;b), rmax(a;b)] ⟶ℝ| ifun(f;[rmin(a;b), rmax(a;b)])} ]. ∀[c:ℤ].
  (a_∫-b c * f[x] dx = c * a_∫-b f[x] dx)
BY
{ (Auto THEN RWO  "int-rmul-req" 0 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)
Home
Index