---

Step * 1 1 1 1 of Lemma member-mFOL-sequent-freevars


1. s : mFOL-sequent()@i
2. v : ℤ@i
3. (v ∈ mFOL-sequent-freevars(s))@i
4. ¬(v ∈ mFOL-freevars(snd(s)))
5. i : ℕ||fst(s)||@i
6. (v ∈ mFOL-freevars(fst(s)[i]))@i
⊢ (∃h∈fst(s). (v ∈ mFOL-freevars(h)))
BY
{ (With ⌜i⌝ (D 0)⋅ THEN Auto) }

---

Latex:

---

Latex:

1.  s  :  mFOL-sequent()@i
2.  v  :  \mBbbZ{}@i
3.  (v  \mmember{}  mFOL-sequent-freevars(s))@i
4.  \mneg{}(v  \mmember{}  mFOL-freevars(snd(s)))
5.  i  :  \mBbbN{}||fst(s)||@i
6.  (v  \mmember{}  mFOL-freevars(fst(s)[i]))@i
\mvdash{}  (\mexists{}h\mmember{}fst(s).  (v  \mmember{}  mFOL-freevars(h)))


By

---

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

---

Home Index