| 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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identity | Def Id(x) == x |
| | Thm* A:Type. Id A A |
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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 |