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Writing length foldr with function composition

I would like to rewrite

foldr (\_ y = y + 1) 0

using flip , const and (+1) and function composition.

I've gotten this far:

foldr (\x -> ((+1) . (flip const x)) 0

But I can't seem to ditch this lambda. Is there any way to do so?

Note that (\\_ -> e) = const e , and here e = (\\y -> y + 1) = (+1) . Therefore,

foldr (const (+1)) 0

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