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Step * of Lemma qmax-eq-iff-1

∀[q,r:ℚ].  uiff(qmax(q;r) = q ∈ ℚ;r ≤ q)
BY
{ ((UnivCD THENA Auto)
   THEN Unfold `qmax` 0
   THEN AutoSplit
   THEN (InstLemma `qless_trichot_qorder` [⌜r⌝;⌜q⌝]⋅ THENA Auto)
   THEN SplitOrHyps
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[q,r:\mBbbQ{}].    uiff(qmax(q;r)  =  q;r  \mleq{}  q)


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  Unfold  `qmax`  0
  THEN  AutoSplit
  THEN  (InstLemma  `qless\_trichot\_qorder`  [\mkleeneopen{}r\mkleeneclose{};\mkleeneopen{}q\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  SplitOrHyps
  THEN  Auto)

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