Step
*
1
of Lemma
iproper-approx
1. I : Interval
2. iproper(I)
3. n : ℕ+
4. icompact(i-approx(I;n))
⊢ icompact(i-approx(I;n + 1))
BY
{ ((D -1 THEN D -2) THEN Using [`r',⌜r⌝] (BLemma `i-approx-compact`)⋅ THEN Auto) }
1
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)
Latex:
Latex:
1. I : Interval
2. iproper(I)
3. n : \mBbbN{}\msupplus{}
4. icompact(i-approx(I;n))
\mvdash{} icompact(i-approx(I;n + 1))
By
Latex:
((D -1 THEN D -2) THEN Using [`r',\mkleeneopen{}r\mkleeneclose{}] (BLemma `i-approx-compact`)\mcdot{} THEN Auto)
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