| Who Cites sized mset? |
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sized_mset | Def a {k} T == {p:( a T)| Msize(p) = k } |
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| Thm* a,k: . a {k} Type |
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| Thm* a,k,x: , y: . a {k} {x..y } Type |
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| Thm* a,k,x: , y: . a {k} {x...y} Type |
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| Thm* a,k: . a {k}  Type |
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| Thm* a,k,x: . a {k} {x...} Type |
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msize | Def Msize(f) == i: k. f(i) |
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| Thm* k: . Msize ( k  )   |
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nat | Def == {i: | 0 i } |
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| Thm* Type |
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int_seg | Def {i..j } == {k: | i k < j } |
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| 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) |
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| 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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lelt | Def i j < k == i j & j<k |
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le | Def A B == B<A |
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| Thm* i,j: . (i j) Prop |
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lt_int | Def i< j == if i<j true ; false fi |
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| Thm* i,j: . (i< j)  |
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not | Def A == A  False |
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| Thm* A:Prop. ( A) Prop |