---

Step * of Lemma continuous-abs

∀[I:Interval]. ∀[f:I ⟶ℝ].  (f[x] continuous for x ∈ I ⇒ |f[x]| continuous for x ∈ I)
BY
{ (RWO "rabs-as-rmax" 0 THEN EAuto 2) }

---

Latex:

---

Latex:
\mforall{}[I:Interval].  \mforall{}[f:I  {}\mrightarrow{}\mBbbR{}].    (f[x]  continuous  for  x  \mmember{}  I  {}\mRightarrow{}  |f[x]|  continuous  for  x  \mmember{}  I)


By

---

Latex:
(RWO  "rabs-as-rmax"  0  THEN  EAuto  2)

---

Home Index