The use of the wildcard as a type parameter seems odd here. Why not use (array: 'a[]) for example? I'm guessing its a quirk of the F# syntax?
let filter f (array: _[]) =
checkNonNull "array" array
let res = List<_>() // ResizeArray
for i = 0 to array.Length - 1 do
let x = array.[i]
if f x then res.Add(x)
res.ToArray()
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