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Step * of Lemma rcos-positive

∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (r0 < rcos(x))
BY
{ (Auto THEN (InstLemma `rless-cases` [⌜r0⌝;⌜(r1/r(1000))⌝;⌜x⌝]⋅ THENA Auto) THEN D -1) }

1
1. x : {x:ℝ| x ∈ (-(π/2), π/2)} 
2. r0 < x
⊢ r0 < rcos(x)

2
1. x : {x:ℝ| x ∈ (-(π/2), π/2)} 
2. x < (r1/r(1000))
⊢ r0 < rcos(x)

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Latex:

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Latex:
\mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  .  (r0  <  rcos(x))


By

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Latex:
(Auto  THEN  (InstLemma  `rless-cases`  [\mkleeneopen{}r0\mkleeneclose{};\mkleeneopen{}(r1/r(1000))\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENA  Auto)  THEN  D  -1)

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