From a7d7542dc646a5fd124ef71e71ce260889f1701b Mon Sep 17 00:00:00 2001 From: Camil Staps Date: Tue, 2 Feb 2016 19:24:50 +0100 Subject: Moved to 1415 directory --- files/practicum/BewijsMapFlatten.icl | 30 ------------------------------ 1 file changed, 30 deletions(-) delete mode 100644 files/practicum/BewijsMapFlatten.icl (limited to 'files/practicum/BewijsMapFlatten.icl') diff --git a/files/practicum/BewijsMapFlatten.icl b/files/practicum/BewijsMapFlatten.icl deleted file mode 100644 index dc74766..0000000 --- a/files/practicum/BewijsMapFlatten.icl +++ /dev/null @@ -1,30 +0,0 @@ -Zij gegeven: - -(++) :: [a] [a] -> [a] -(++) [] xs = xs (1) -(++) [y:ys] xs = [y : ys ++ xs] (2) - -map :: (a -> b) [a] -> [b] -map f [] = [] (3) -map f [x:xs] = [f x : map f xs] (4) - -flatten :: [[a]] -> [a] -flatten [] = [] (5) -flatten [x:xs] = x ++ (flatten xs) (6) - -1. -Te bewijzen: - voor iedere functie f, eindige lijst as en bs: - - map f (as ++ bs) = (map f as) ++ (map f bs) - -Bewijs: - - -2. -Te bewijzen: - voor iedere functie f, voor iedere eindige lijst xs: - - flatten (map (map f) xs) = map f (flatten xs) - -Bewijs: -- cgit v1.2.3