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Step * 1 1 of Lemma iproper-approx


1. I : Interval
2. iproper(I)
3. n : ℕ+
4. r : ℝ
5. r ∈ i-approx(I;n)
6. i-closed(i-approx(I;n))
7. i-finite(i-approx(I;n))
⊢ r ∈ i-approx(I;n + 1)
BY
{ (InstLemma `i-approx-monotonic` [⌜I⌝;⌜n⌝;⌜n + 1⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  I  :  Interval
2.  iproper(I)
3.  n  :  \mBbbN{}\msupplus{}
4.  r  :  \mBbbR{}
5.  r  \mmember{}  i-approx(I;n)
6.  i-closed(i-approx(I;n))
7.  i-finite(i-approx(I;n))
\mvdash{}  r  \mmember{}  i-approx(I;n  +  1)


By

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Latex:
(InstLemma  `i-approx-monotonic`  [\mkleeneopen{}I\mkleeneclose{};\mkleeneopen{}n\mkleeneclose{};\mkleeneopen{}n  +  1\mkleeneclose{}]\mcdot{}  THEN  Auto)

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