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Step * 1 3 of Lemma arcsine-bounds

.....antecedent..... 
1. x : {x:ℝ| x ∈ (r(-1), r1)} 
⊢ λx.rsin(x)[x] strictly-increasing for x ∈ (-(π/2), π/2)
BY
{ (RepUR ``r-ap so_apply`` 0 THEN Auto) }

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Latex:

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Latex:
.....antecedent..... 
1.  x  :  \{x:\mBbbR{}|  x  \mmember{}  (r(-1),  r1)\} 
\mvdash{}  \mlambda{}x.rsin(x)[x]  strictly-increasing  for  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)


By

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Latex:
(RepUR  ``r-ap  so\_apply``  0  THEN  Auto)

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