| No other cites to report in MarkB_generic |
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for_hdtl | Def ForHdTl{A,f,k} h::t as. g(h;t) == reduce(f;k;mapcons( h,t. g(h;t);as)) |
| | Thm* A,B,C:Type, f:(B![](FONT/dash.png) C![](FONT/dash.png) C), k:C, as:A List, g:(A![](FONT/dash.png) (A List)![](FONT/dash.png) B). (ForHdTl{A,f,k} h::t as. g(h,t)) C |
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mapcons | Def mapcons(f;as) == Case of as; nil nil ; a.as' [(f(a,as')) / mapcons(f;as')] (recursive) |
| | Thm* A,B:Type, f:(A![](FONT/dash.png) (A List)![](FONT/dash.png) B), l:A List. mapcons(f;l) B List |
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reduce | Def reduce(f;k;as) == Case of as; nil k ; a.as' f(a,reduce(f;k;as')) (recursive) |
| | Thm* A,B:Type, f:(A![](FONT/dash.png) B![](FONT/dash.png) B), k:B, as:A List. reduce(f;k;as) B |