| Some definitions of interest. |
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compose_iter | Def f{ i}(x) == if i= 0 x else f(f{ i-1}(x)) fi (recursive) |
| | Thm* f:(A A), i: . f{ i} A A |
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injection_type | Def A inj B == {f:(A B)| Inj(A; B; f) } |
| | Thm* A,B:Type. A inj B Type |
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inject | Def Inj(A; B; f) == a1,a2:A. f(a1) = f(a2) B  a1 = a2 |
| | Thm* A,B:Type, f:(A B). Inj(A; B; f) Prop |
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nat | Def == {i: | 0 i } |
| | Thm* Type |