Step
*
of Lemma
rset-member-rrange
∀I:Interval. ∀[f:I ⟶ℝ]. ∀r:ℝ. ((r ∈ I) 
⇒ (f[r] ∈ f[x](x∈I)))
BY
{ (Auto THEN RepUR ``rrange rset-member`` 0 THEN With ⌜r⌝ (D 0)⋅ THEN Auto) }
Latex:
Latex:
\mforall{}I:Interval.  \mforall{}[f:I  {}\mrightarrow{}\mBbbR{}].  \mforall{}r:\mBbbR{}.  ((r  \mmember{}  I)  {}\mRightarrow{}  (f[r]  \mmember{}  f[x](x\mmember{}I)))
By
Latex:
(Auto  THEN  RepUR  ``rrange  rset-member``  0  THEN  With  \mkleeneopen{}r\mkleeneclose{}  (D  0)\mcdot{}  THEN  Auto)
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