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Step * of Lemma i-approx-containing

∀I:Interval. ∀x:ℝ.  ((x ∈ I) ⇒ (∃m:ℕ+. (icompact(i-approx(I;m)) ∧ (x ∈ i-approx(I;m)))))
BY
{ (Auto
   THEN (InstLemma `i-approx-containing2` [⌜I⌝;⌜x⌝;⌜x⌝]⋅ THENA Auto)
   THEN ParallelLast
   THEN Auto
   THEN D 0
   THEN Auto) }

1
1. I : Interval
2. x : ℝ
3. x ∈ I
4. n : ℕ+
5. x ∈ i-approx(I;n)
6. x ∈ i-approx(I;n)
⊢ i-nonvoid(i-approx(I;n))

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Latex:

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Latex:
\mforall{}I:Interval.  \mforall{}x:\mBbbR{}.    ((x  \mmember{}  I)  {}\mRightarrow{}  (\mexists{}m:\mBbbN{}\msupplus{}.  (icompact(i-approx(I;m))  \mwedge{}  (x  \mmember{}  i-approx(I;m)))))


By

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Latex:
(Auto
  THEN  (InstLemma  `i-approx-containing2`  [\mkleeneopen{}I\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  ParallelLast
  THEN  Auto
  THEN  D  0
  THEN  Auto)

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