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Step * 1 1 1 1 1 of Lemma union-metric-space-complete


1. k : ℕ+
2. v : ℝ
3. rmin(v;r1) ≤ (r1/r(k + 1))
⊢ v ≤ (r1/r(k))
BY
{ (InstLemma  `rless-cases` [⌜(r1/r(k + 1))⌝;⌜(r1/r(k))⌝;⌜v⌝]⋅ THENA Auto) }

1
1. k : ℕ+
2. v : ℝ
3. rmin(v;r1) ≤ (r1/r(k + 1))
4. ((r1/r(k + 1)) < v) ∨ (v < (r1/r(k)))
⊢ v ≤ (r1/r(k))

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Latex:

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Latex:

1.  k  :  \mBbbN{}\msupplus{}
2.  v  :  \mBbbR{}
3.  rmin(v;r1)  \mleq{}  (r1/r(k  +  1))
\mvdash{}  v  \mleq{}  (r1/r(k))


By

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Latex:
(InstLemma    `rless-cases`  [\mkleeneopen{}(r1/r(k  +  1))\mkleeneclose{};\mkleeneopen{}(r1/r(k))\mkleeneclose{};\mkleeneopen{}v\mkleeneclose{}]\mcdot{}  THENA  Auto)

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