---

Step * 2 of Lemma inhabited-lower-rc-face


1. k : ℕ
2. c : ℚCube(k)
3. j : ℕk
4. ↑Inhabited(c j)
5. ∀i:ℕk. (↑Inhabited(c i))
6. i : ℕk
⊢ ↑Inhabited(if (i =z j) then [fst((c i))] else c i fi )
BY
{ (AutoSplit THEN RWO "inhabited-rat-point-interval" 0 THEN Auto) }

---

Latex:

---

Latex:

1.  k  :  \mBbbN{}
2.  c  :  \mBbbQ{}Cube(k)
3.  j  :  \mBbbN{}k
4.  \muparrow{}Inhabited(c  j)
5.  \mforall{}i:\mBbbN{}k.  (\muparrow{}Inhabited(c  i))
6.  i  :  \mBbbN{}k
\mvdash{}  \muparrow{}Inhabited(if  (i  =\msubz{}  j)  then  [fst((c  i))]  else  c  i  fi  )


By

---

Latex:
(AutoSplit  THEN  RWO  "inhabited-rat-point-interval"  0  THEN  Auto)

---

Home Index