| Some definitions of interest. |
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comment | Def Kind of comment: $kind == a |
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prime | Def prime(a) == a = 0 & (a ~ 1) & (b,c:. a | bc a | b a | c) |
| | Thm* a:. prime(a) Prop |
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divides | Def b | a == c:. a = bc |
| | Thm* a,b:. (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 |