Step
*
of Lemma
member-rcc-min-max
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∀[x,y,t:ℝ].  uiff(t ∈ [rmin(x;y), rmax(x;y)];(|t - x| ≤ |y - x|) ∧ (|t - y| ≤ |y - x|))
BY
{ (Reduce 0 THEN InstLemma `between-rmin-rmax` [] THEN Trivial) }
Latex:
Latex:
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\mforall{}[x,y,t:\mBbbR{}].    uiff(t  \mmember{}  [rmin(x;y),  rmax(x;y)];(|t  -  x|  \mleq{}  |y  -  x|)  \mwedge{}  (|t  -  y|  \mleq{}  |y  -  x|))
By
Latex:
(Reduce  0  THEN  InstLemma  `between-rmin-rmax`  []  THEN  Trivial)
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