Step
*
of Lemma
arcsine-rsin
∀[x:{x:ℝ| x ∈ (-(π/2), π/2)} ]. (arcsine(rsin(x)) = x)
BY
{ InstLemma `rsin-strict-bound` [] }
1
1. ∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (rsin(x) ∈ (r(-1), r1))
⊢ ∀[x:{x:ℝ| x ∈ (-(π/2), π/2)} ]. (arcsine(rsin(x)) = x)
Latex:
Latex:
\mforall{}[x:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  ].  (arcsine(rsin(x))  =  x)
By
Latex:
InstLemma  `rsin-strict-bound`  []
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