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Diffstat (limited to 'files/practicum/BewijsMapO.icl')
-rw-r--r-- | files/practicum/BewijsMapO.icl | 12 |
1 files changed, 12 insertions, 0 deletions
diff --git a/files/practicum/BewijsMapO.icl b/files/practicum/BewijsMapO.icl new file mode 100644 index 0000000..144a4d6 --- /dev/null +++ b/files/practicum/BewijsMapO.icl @@ -0,0 +1,12 @@ +Zij gegeven: + + map :: (a -> b) [a] -> [b] + map f [] = [] (1) + map f [x:xs] = [f x : map f xs] (2) + + (f o g) x = f (g x) (3) + +Bewijs de volgende stelling voor alle eindige lijsten xs en functies f en g: + + map (f o g) xs = map f (map g xs) + |