| Some definitions of interest. |
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comment | Def Kind of comment: $kind == a |
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eval_factorization | Def  {a..b }(f) == i:{a..b }. i f(i) |
| | Thm* a,b: , f:({a..b }  ).  {a..b }(f)  |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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int_upper | Def {i...} == {j: | i j } |
| | Thm* n: . {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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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |
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split_factor2 | Def split_factor2(g; x; y)(u)
Def == if u= x g(x)+g(x y) ; u= y g(y)+g(x y) ; u= x y 0 else g(u) fi |
| | Thm* k:{2...}, g:({2..k }  ), x,y:{2..k }.
Thm* x y<k  split_factor2(g; x; y) {2..k }   |