i}(x) == if i=
0
x else f(f{i-1}(x)) fi (recursive)
f:(A
A), i:
. f{i} 
AAA:Type. Id AA B == {f:(AB)| Inj(A; B; f) }A,B:Type. A inj B Type
} == {k:
| i 
k < j }m,n:. {m..n} Type == {i:| 0i } Type
== {i:| 0<i } Type| Some definitions of interest. | |
| compose_iter | i}(x) == if i=0 x else f(f{i-1}(x)) fi (recursive) |
| f:(AA), i:. f{i} AA | |
| identity | |
| A:Type. Id AA | |
| injection_type | B == {f:(AB)| Inj(A; B; f) } |
| A,B:Type. A inj B Type | |
| int_seg | } == {k:| i k < j } |
| m,n:. {m..n} Type | |
| nat | == {i:| 0i } |
| Type | |
| nat_plus | == {i:| 0<i } |
| Type |
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