---

Step * of Lemma rsin-strictly-increasing

rsin(x) strictly-increasing for x ∈ (-(π/2), π/2)
BY
{ (Using [`f\'', ⌜λ2x.rcos(x)⌝] (BLemma `derivative-implies-strictly-increasing`)⋅ THEN Auto) }

1
d(rsin(x))/dx = λx.rcos(x) on (-(π/2), π/2)

2
rcos(x) continuous for x ∈ (-(π/2), π/2)

---

Latex:

---

Latex:
rsin(x)  strictly-increasing  for  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)


By

---

Latex:
(Using  [`f\mbackslash{}'',  \mkleeneopen{}\mlambda{}\msubtwo{}x.rcos(x)\mkleeneclose{}]  (BLemma  `derivative-implies-strictly-increasing`)\mcdot{}  THEN  Auto)

---

Home Index