| | Some definitions of interest. |
|
| p_array | Def [T]Array{i..j } == {a:[T]Array | a.l = i & a.u = j } |
| | | Thm*  T:Type{i}, i: , j:{i...}. [T]Array{i..j}  Type{[i']} |
|
| array | Def [T]Array == n: m:{n...}{n..m}  T |
| | | Thm* T:Type{i}. [T]Array Type{[i']} |
|
| array_el | Def a[i] == 2of(2of(a))(i) |
| | | Thm* T:Type, i:, j:{i...}, a:[T]Array{i..j}, k:{i..j}. a[k] T |
| | | Thm* T:Type, a:[T]Array , i:{a.l..a.u}. a[i] T |
|
| array_lb | Def a.l == 1of(a) |
| | | Thm* T:Type, a:[T]Array . a.l |
|
| array_ub | Def a.u == 1of(2of(a)) |
| | | Thm* T:Type, a:[T]Array . a.u |
|
| int_seg | Def {i..j} == {k:| i  k < j } |
| | | Thm* m,n:. {m..n} Type |
|
| int_upper | Def {i...} == {j:| ij } |
| | | Thm* n:. {n...} Type |
