DiscreteMath Sections DiscrMathExt Doc
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Def  {i...j} == {k:ik & kj }

is mentioned by

Thm*  (AH ~ 8)  ((AH{1...8}) ~ 64)[chessboard_example]
Thm*  a,k,x:y:a {k} {x...y Type[sized_mset_wf3]
Thm*  f:(AA), k:i:{0...k}. f{k} = f{i} o f{k-i}[compose_iter_sum_comp_rw]
Thm*  x:Af:(AA), k:i:{0...k}. f{k}(x) = f{i}(f{k-i}(x))[compose_iter_sum_rw]
Thm*  a,b:c:{a...b}. ({a..c}+{c..b}) ~ {a..b}[intseg_split]
Thm*  a,b:. {a...b} ~ (1+b-a)[nsub_intiseg_rw]
Thm*  a:b:. {a...b} ~ {a..(b+1)}[intiseg_intseg_plus]
Thm*  a,b',b:b = b'+1  ({a...b'} ~ {a..b})[intiseg_intseg]
Thm*  a,b:c:{a...b}, B:({a..b}Type).
Thm*  (i:{a..b}B(i)) ~ ((i:{a..c}B(i))+(i:{c..b}B(i)))
[card_split_sum_intseg_family]
Thm*  a,b:c:{a...b}, B:({a..b}Type).
Thm*  (i:{a..b}B(i)) ~ ((i:{a..c}B(i))(i:{c..b}B(i)))
[card_split_prod_intseg_family]

In prior sections: int 1 IteratedBinops

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DiscreteMath Sections DiscrMathExt Doc