---

Step * 1 1 1 1 of Lemma nonzero-on-implies


1. I : Interval@i
2. f : I ⟶ℝ@i
3. x : ℝ@i
4. x ∈ I@i
5. n : ℕ+
6. x ∈ i-approx(I;n)
⊢ i-nonvoid(i-approx(I;n))
BY
{ (With ⌜x⌝ (D 0)⋅ THEN Auto) }

---

Latex:

---

Latex:

1.  I  :  Interval@i
2.  f  :  I  {}\mrightarrow{}\mBbbR{}@i
3.  x  :  \mBbbR{}@i
4.  x  \mmember{}  I@i
5.  n  :  \mBbbN{}\msupplus{}
6.  x  \mmember{}  i-approx(I;n)
\mvdash{}  i-nonvoid(i-approx(I;n))


By

---

Latex:
(With  \mkleeneopen{}x\mkleeneclose{}  (D  0)\mcdot{}  THEN  Auto)

---

Home Index