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-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)
-