---

Step * of Lemma mapfilter-cons

∀[u,v,P,f:Top].  (mapfilter(f;P;[u / v]) ~ mapfilter(f;P;[u]) @ mapfilter(f;P;v))
BY
{ ((UnivCD THENA Auto)
   THEN (Subst ⌜[u / v] ~ [u] @ v⌝ 0⋅ THENA (Reduce 0 THEN Auto))
   THEN RWO "mapfilter-append" 0
   THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[u,v,P,f:Top].    (mapfilter(f;P;[u  /  v])  \msim{}  mapfilter(f;P;[u])  @  mapfilter(f;P;v))


By

---

Latex:
((UnivCD  THENA  Auto)
  THEN  (Subst  \mkleeneopen{}[u  /  v]  \msim{}  [u]  @  v\mkleeneclose{}  0\mcdot{}  THENA  (Reduce  0  THEN  Auto))
  THEN  RWO  "mapfilter-append"  0
  THEN  Auto)

---

Home Index