Step
*
3
of Lemma
rcos-strictly-decreasing
1. iproper([r0, π])
2. x : {x:ℝ| x ∈ [r0, π]} 
⊢ -(rsin(x)) ≤ r0
BY
{ nRAdd ⌜rsin(x)⌝ 0⋅ }
1
1. iproper([r0, π])
2. x : {x:ℝ| x ∈ [r0, π]} 
⊢ r0 ≤ rsin(x)
Latex:
Latex:
1.  iproper([r0,  \mpi{}])
2.  x  :  \{x:\mBbbR{}|  x  \mmember{}  [r0,  \mpi{}]\} 
\mvdash{}  -(rsin(x))  \mleq{}  r0
By
Latex:
nRAdd  \mkleeneopen{}rsin(x)\mkleeneclose{}  0\mcdot{}
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