Step * 4 of Lemma rcos-strictly-decreasing


1. iproper([r0, π])
2. {x:ℝx ∈ (r0, π)} 
⊢ -(rsin(x)) < r0
BY
(nRAdd ⌜rsin(x)⌝ 0⋅ THEN BLemma `rsin-positive` THEN Auto) }


Latex:


Latex:

1.  iproper([r0,  \mpi{}])
2.  x  :  \{x:\mBbbR{}|  x  \mmember{}  (r0,  \mpi{})\} 
\mvdash{}  -(rsin(x))  <  r0


By


Latex:
(nRAdd  \mkleeneopen{}rsin(x)\mkleeneclose{}  0\mcdot{}  THEN  BLemma  `rsin-positive`  THEN  Auto)




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