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Step * of Lemma function-maps-compact

∀I:Interval. ∀f:I ⟶ℝ.
  (iproper(I) ⇒ (∀x,y:{t:ℝ| t ∈ I} .  ((x = y) ⇒ (f[x] = f[y]))) ⇒ maps-compact(I;(-∞, ∞);x.f[x]))
BY
{ (InstLemma `continuous-maps-compact` []
   THEN RepeatFor 4 ((ParallelLast' THENA Auto))
   THEN BLemma `function-proper-continuous`
   THEN Auto) }

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Latex:

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Latex:
\mforall{}I:Interval.  \mforall{}f:I  {}\mrightarrow{}\mBbbR{}.
    (iproper(I)  {}\mRightarrow{}  (\mforall{}x,y:\{t:\mBbbR{}|  t  \mmember{}  I\}  .    ((x  =  y)  {}\mRightarrow{}  (f[x]  =  f[y])))  {}\mRightarrow{}  maps-compact(I;(-\minfty{},  \minfty{});x.f[x])\000C)


By

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Latex:
(InstLemma  `continuous-maps-compact`  []
  THEN  RepeatFor  4  ((ParallelLast'  THENA  Auto))
  THEN  BLemma  `function-proper-continuous`
  THEN  Auto)

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