| 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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eq_int | Def i= j == if i=j true ; false fi |
| | Thm* i,j: . (i= j)  |
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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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nequal | Def a b T == a = b T |
| | Thm* A:Type, x,y:A. (x y) Prop |