| Some definitions of interest. |
|
compose_iter | Def f{ i}(x) == if i= 0 x else f(f{ i-1}(x)) fi (recursive) |
| | Thm* f:(A![](FONT/dash.png) A), i: . f{ i} A![](FONT/dash.png) A |
|
inject | Def Inj(A; B; f) == a1,a2:A. f(a1) = f(a2) B ![](FONT/eq.png) a1 = a2 |
| | Thm* A,B:Type, f:(A![](FONT/dash.png) B). Inj(A; B; f) Prop |
|
int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
|
nat | Def == {i: | 0 i } |
| | Thm* Type |
|
nat_plus | Def ![](FONT/nat.png) == {i: | 0<i } |
| | Thm* ![](FONT/nat.png) Type |