---

Step * 1 1 of Lemma derivative-rtan


1. ∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (r0 < rcos(x))
2. d(rsin(x))/dx = λx.rcos(x) on (-∞, ∞)
⊢ d(rsin(x))/dx = λx.rcos(x) on (-(π/2), π/2)
BY
{ (DerivativeFunctionality (-1) THEN Auto) }

---

Latex:

---

Latex:

1.  \mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  .  (r0  <  rcos(x))
2.  d(rsin(x))/dx  =  \mlambda{}x.rcos(x)  on  (-\minfty{},  \minfty{})
\mvdash{}  d(rsin(x))/dx  =  \mlambda{}x.rcos(x)  on  (-(\mpi{}/2),  \mpi{}/2)


By

---

Latex:
(DerivativeFunctionality  (-1)  THEN  Auto)

---

Home Index