---

Step * 3 of Lemma rmax_strict_lb


1. x : ℝ
2. y : ℝ
3. z : ℝ
4. rmax(x;y) < z
⊢ y < z
BY
{ (((InstLemma `rleq-rmax` [⌜x⌝; ⌜y⌝])⋅ THENA Auto)
   THEN (Using [`y',⌜rmax(x;y)⌝] (BLemma `rless_transitivity2`))⋅
   THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
3.  z  :  \mBbbR{}
4.  rmax(x;y)  <  z
\mvdash{}  y  <  z


By

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Latex:
(((InstLemma  `rleq-rmax`  [\mkleeneopen{}x\mkleeneclose{};  \mkleeneopen{}y\mkleeneclose{}])\mcdot{}  THENA  Auto)
  THEN  (Using  [`y',\mkleeneopen{}rmax(x;y)\mkleeneclose{}]  (BLemma  `rless\_transitivity2`))\mcdot{}
  THEN  Auto)

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