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Step * of Lemma rsin-strict-bound

∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (rsin(x) ∈ (r(-1), r1))
BY
{ ((InstLemma `rcos-positive` [] THEN ParallelLast) THEN (InstLemma `rsin-rcos-pythag` [⌜x⌝]⋅ THENA Auto)) }

1
1. ∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (r0 < rcos(x))
2. x : {x:ℝ| x ∈ (-(π/2), π/2)} 
3. r0 < rcos(x)
4. (rsin(x)^2 + rcos(x)^2) = r1
⊢ rsin(x) ∈ (r(-1), r1)

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Latex:

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Latex:
\mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  .  (rsin(x)  \mmember{}  (r(-1),  r1))


By

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Latex:
((InstLemma  `rcos-positive`  []  THEN  ParallelLast)
  THEN  (InstLemma  `rsin-rcos-pythag`  [\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENA  Auto)
  )

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