Step * 3 of Lemma rcos-strictly-decreasing


1. iproper([r0, π])
2. {x:ℝx ∈ [r0, π]} 
⊢ -(rsin(x)) ≤ r0
BY
nRAdd ⌜rsin(x)⌝ 0⋅ }

1
1. iproper([r0, π])
2. {x:ℝx ∈ [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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