| Who Cites sized bool? |
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sized_bool | Def a {k} == {p:(a)| size(a)(p) = k } |
| | Thm* a,k:. a {k} Type |
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boolsize | Def size(a)(p) == Msize(x.if p(x) 1 else 0 fi) |
| | Thm* a:. size(a) (a) |
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nat | Def == {i:| 0i } |
| | Thm* Type |
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int_seg | Def {i..j} == {k:| i k < j } |
| | Thm* m,n:. {m..n} Type |
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msize | Def Msize(f) == i:k. f(i) |
| | Thm* k:. Msize (k) |
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lelt | Def i j < k == ij & j<k |
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le | Def AB == B<A |
| | Thm* i,j:. (ij) Prop |
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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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not | Def A == A False |
| | Thm* A:Prop. (A) Prop |
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lt_int | Def i<j == if i<j true ; false fi |
| | Thm* i,j:. (i<j) |