---

Step * of Lemma mdist-triangle-inequality

∀[X:Type]. ∀[d:metric(X)]. ∀[x,y,z:X].  (mdist(d;x;z) ≤ (mdist(d;x;y) + mdist(d;y;z)))
BY
{ (Auto THEN RW (AddrC [2;2] (LemmaC `mdist-symm`)) 0 THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[X:Type].  \mforall{}[d:metric(X)].  \mforall{}[x,y,z:X].    (mdist(d;x;z)  \mleq{}  (mdist(d;x;y)  +  mdist(d;y;z)))


By

---

Latex:
(Auto  THEN  RW  (AddrC  [2;2]  (LemmaC  `mdist-symm`))  0  THEN  Auto)

---

Home Index