---

Step * 2 of Lemma rmin_strict_ub


1. x : ℝ
2. y : ℝ
3. z : ℝ
4. z < rmin(x;y)
⊢ z < x
BY
{ (((InstLemma `rmin-rleq` [⌜x⌝; ⌜y⌝])⋅ THENA Auto)
   THEN (Using [`y',⌜rmin(x;y)⌝] (BLemma `rless_transitivity1`))⋅
   THEN Auto) }

---

Latex:

---

Latex:

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


By

---

Latex:
(((InstLemma  `rmin-rleq`  [\mkleeneopen{}x\mkleeneclose{};  \mkleeneopen{}y\mkleeneclose{}])\mcdot{}  THENA  Auto)
  THEN  (Using  [`y',\mkleeneopen{}rmin(x;y)\mkleeneclose{}]  (BLemma  `rless\_transitivity1`))\mcdot{}
  THEN  Auto)

---

Home Index