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Step * 1 of Lemma rsin-positive-near-11/7


1. x : {x:ℝ| x ∈ ((r(41)/r(70)), (r(179)/r(70)))} 
⊢ r0 < rsin(x)
BY
{ (InstLemma `rabs-difference-rsin-rleq` [⌜x⌝;⌜(r(110)/r(70))⌝]⋅ THENA Auto) }

1
1. x : {x:ℝ| x ∈ ((r(41)/r(70)), (r(179)/r(70)))} 
2. |rsin(x) - rsin((r(110)/r(70)))| ≤ |x - (r(110)/r(70))|
⊢ r0 < rsin(x)

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Latex:

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Latex:

1.  x  :  \{x:\mBbbR{}|  x  \mmember{}  ((r(41)/r(70)),  (r(179)/r(70)))\} 
\mvdash{}  r0  <  rsin(x)


By

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Latex:
(InstLemma  `rabs-difference-rsin-rleq`  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}(r(110)/r(70))\mkleeneclose{}]\mcdot{}  THENA  Auto)

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