| Some definitions of interest. |
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iff | Def P Q == (P Q) & (P Q) |
| | Thm* A,B:Prop. (A B) Prop |
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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:(AAA), u:A, a,b:, e:({a..b}A). (Iter(f;u) i:{a..b}. e(i)) A |
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nat | Def == {i:| 0i } |
| | Thm* Type |
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one_one_corr_2 | Def A ~ B == f:(AB), g:(BA). InvFuns(A;B;f;g) |
| | Thm* A,B:Type. (A ~ B) Prop |