---

Step * 1 of Lemma imax-bag-ub


1. bs : ℤ List
2. x : ℤ
3. x ↓∈ bs
⊢ 0 < ||bs||
BY
{ (Fold `bag-size` 0
   THEN Using [`T',⌜ℤ⌝] (BLemma `bag-size-bag-member`)⋅
   THEN Auto
   THEN D 0
   THEN Auto
   THEN With ⌜x⌝ (D 0)⋅
   THEN Auto
   THEN Auto) }

---

Latex:

---

Latex:

1.  bs  :  \mBbbZ{}  List
2.  x  :  \mBbbZ{}
3.  x  \mdownarrow{}\mmember{}  bs
\mvdash{}  0  <  ||bs||


By

---

Latex:
(Fold  `bag-size`  0
  THEN  Using  [`T',\mkleeneopen{}\mBbbZ{}\mkleeneclose{}]  (BLemma  `bag-size-bag-member`)\mcdot{}
  THEN  Auto
  THEN  D  0
  THEN  Auto
  THEN  With  \mkleeneopen{}x\mkleeneclose{}  (D  0)\mcdot{}
  THEN  Auto
  THEN  Auto)

---

Home Index