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Step * 2 of Lemma rmin_ub


1. x : ℝ@i
2. y : ℝ@i
3. z : ℝ@i
4. z ≤ rmin(x;y)@i
⊢ z ≤ x
BY
{ (((InstLemma `rmin-rleq` [⌜x⌝; ⌜y⌝])⋅ THENA Auto)
   THEN (Using [`y',⌜rmin(x;y)⌝] (BLemma `rleq_transitivity`))⋅
   THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}@i
2.  y  :  \mBbbR{}@i
3.  z  :  \mBbbR{}@i
4.  z  \mleq{}  rmin(x;y)@i
\mvdash{}  z  \mleq{}  x


By

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Latex:
(((InstLemma  `rmin-rleq`  [\mkleeneopen{}x\mkleeneclose{};  \mkleeneopen{}y\mkleeneclose{}])\mcdot{}  THENA  Auto)
  THEN  (Using  [`y',\mkleeneopen{}rmin(x;y)\mkleeneclose{}]  (BLemma  `rleq\_transitivity`))\mcdot{}
  THEN  Auto)

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