---

Step * 2 1 of Lemma iproper-nonvoid


1. x : ℝ
2. y : ℝ
3. (True ∧ True) ⇒ (x < y)
⊢ ∃r:ℝ. ((x ≤ r) ∧ (r < y))
BY
{ (InstLemma `ravg-between` [⌜x⌝;⌜y⌝]⋅ THEN Auto) }

---

Latex:

---

Latex:

1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
3.  (True  \mwedge{}  True)  {}\mRightarrow{}  (x  <  y)
\mvdash{}  \mexists{}r:\mBbbR{}.  ((x  \mleq{}  r)  \mwedge{}  (r  <  y))


By

---

Latex:
(InstLemma  `ravg-between`  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}  THEN  Auto)

---

Home Index