| | Some definitions of interest. |
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| append | Def as @ bs == Case of as; nil bs ; a.as' [a / (as' @ bs)] (recursive) |
| | | Thm* T:Type, as,bs:T List. (as @ bs) T List |
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| compose_list | Def compose_list(L) == reduce( p,q. p o q; x.x;L) |
| | | Thm* T:Type, L:(T T) List. compose_list(L) T T |
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| compose | Def (f o g)(x) == f(g(x)) |
| | | Thm* A,B,C:Type, f:(B C), g:(A B). f o g A C |