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Step * 2 2 1 of Lemma rcos-nonneg


1. x : {x:ℝ| x ∈ [-(π/2), π/2]} 
2. x < (r1/r(1000))
3. x < r0
⊢ r0 ≤ rcos(-(x))
BY
{ ((BLemma `rcos-nonneg-upto-half-pi` THEN Auto)
   THEN DSetVars
   THEN All Reduce
   THEN MemTypeCD
   THEN Auto
   THEN nRAdd ⌜x⌝ 0⋅
   THEN Auto) }

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Latex:

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Latex:

1.  x  :  \{x:\mBbbR{}|  x  \mmember{}  [-(\mpi{}/2),  \mpi{}/2]\} 
2.  x  <  (r1/r(1000))
3.  x  <  r0
\mvdash{}  r0  \mleq{}  rcos(-(x))


By

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Latex:
((BLemma  `rcos-nonneg-upto-half-pi`  THEN  Auto)
  THEN  DSetVars
  THEN  All  Reduce
  THEN  MemTypeCD
  THEN  Auto
  THEN  nRAdd  \mkleeneopen{}x\mkleeneclose{}  0\mcdot{}
  THEN  Auto)

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