import num !!! ∀ x : ℕ. (x > 0) ==> reduce(~*~, 1, factor x) == x dummy : Unit dummy = unit ||| The size (cardinality) of a set. !!! setSize {} == 0 !!! setSize {1} == 1 !!! setSize {1..10} == 10 !!! setSize {1,1,1,2,3} == 3 !!! ∀ s : Set(N). setSize s == setSize (s ∪ s) setSize : Set(N) -> N setSize s = reduce(~+~, 0, each (\x.1, bag s))