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Step * of Lemma ifun-iff-continuous

∀I:Interval. (icompact(I) ⇒ (∀f:I ⟶ℝ. (ifun(λx.f[x];I) ⇐⇒ f[x] continuous for x ∈ I)))
BY
{ (Auto THEN Try ((BLemma `ifun-continuous` THEN Auto))) }

1
1. I : Interval
2. icompact(I)
3. f : I ⟶ℝ
4. f[x] continuous for x ∈ I
⊢ ifun(λx.f[x];I)

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Latex:

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Latex:
\mforall{}I:Interval.  (icompact(I)  {}\mRightarrow{}  (\mforall{}f:I  {}\mrightarrow{}\mBbbR{}.  (ifun(\mlambda{}x.f[x];I)  \mLeftarrow{}{}\mRightarrow{}  f[x]  continuous  for  x  \mmember{}  I)))


By

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Latex:
(Auto  THEN  Try  ((BLemma  `ifun-continuous`  THEN  Auto)))

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