---

Step * 2 of Lemma finite-type-iff-list


1. [T] : Type
2. L : T List@i
3. ∀x:T. (x ∈ L)@i
⊢ finite-type(T)
BY
{ ((InstLemma `list-cardinality-le` [⌜T⌝; ⌜L⌝])⋅ THENA Auto) }

1
1. [T] : Type
2. L : T List@i
3. ∀x:T. (x ∈ L)@i
4. |T| ≤ ||L||
⊢ finite-type(T)

---

Latex:

---

Latex:

1.  [T]  :  Type
2.  L  :  T  List@i
3.  \mforall{}x:T.  (x  \mmember{}  L)@i
\mvdash{}  finite-type(T)


By

---

Latex:
((InstLemma  `list-cardinality-le`  [\mkleeneopen{}T\mkleeneclose{};  \mkleeneopen{}L\mkleeneclose{}])\mcdot{}  THENA  Auto)

---

Home Index