| Some definitions of interest. |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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iter_via_intseg | Def Iter(f;u) i:{a..b }. e(i)
Def == if a< b f(Iter(f;u) i:{a..b-1 }. e(i),e(b-1)) else u fi
Def (recursive) |
| | Thm* f:(A A A), u:A, a,b: , e:({a..b } A). (Iter(f;u) i:{a..b }. e(i)) A |
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nat | Def == {i: | 0 i } |
| | Thm* Type |
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le | Def A B == B<A |
| | Thm* i,j: . (i j) Prop |
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one_one_corr_2 | Def A ~ B == f:(A B), g:(B A). InvFuns(A;B;f;g) |
| | Thm* A,B:Type. (A ~ B) Prop |