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Step * of Lemma rcos-positive-near-0

∀x:{x:ℝ| x ∈ (r(-1), r1)} . (r0 < rcos(x))
BY
{ (Auto THEN (InstLemma `rabs-difference-rcos-rleq` [⌜x⌝;⌜r0⌝]⋅ THENA Auto)) }

1
1. x : {x:ℝ| x ∈ (r(-1), r1)} 
2. |rcos(x) - rcos(r0)| ≤ |x - r0|
⊢ r0 < rcos(x)

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Latex:

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Latex:
\mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  (r(-1),  r1)\}  .  (r0  <  rcos(x))


By

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Latex:
(Auto  THEN  (InstLemma  `rabs-difference-rcos-rleq`  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}r0\mkleeneclose{}]\mcdot{}  THENA  Auto))

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