---

Step * of Lemma quicksort-int-member

∀L:ℤ List. ∀x:ℤ.  ((x ∈ L) ⇐⇒ (x ∈ quicksort-int(L)))
BY
{ (Auto
   THEN (InstLemma `quicksort-int_wf` [⌜L⌝]⋅ THENA Auto)
   THEN DVarSets
   THEN Unhide
   THEN Auto
   THEN FLemma `member-permutation` [-1]
   THEN Auto) }

---

Latex:

---

Latex:
\mforall{}L:\mBbbZ{}  List.  \mforall{}x:\mBbbZ{}.    ((x  \mmember{}  L)  \mLeftarrow{}{}\mRightarrow{}  (x  \mmember{}  quicksort-int(L)))


By

---

Latex:
(Auto
  THEN  (InstLemma  `quicksort-int\_wf`  [\mkleeneopen{}L\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  DVarSets
  THEN  Unhide
  THEN  Auto
  THEN  FLemma  `member-permutation`  [-1]
  THEN  Auto)

---

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