def cnt_lt
import bend-collections-laws-crypto@1.0.0.0/proofs/math/random/lemire.bend as Lemireimport Base
131# #{x < N : x n < c}
132def cnt_lt(+n: Nat, +c: Nat, N: Nat) -> Nat:
133 match N:
134 case 0n:
135 0n
136 case 1n+ +x:
137 Nat.add(cnt_lt(n, c, x), b2n(Nat.is_lt(Nat.mul(x, n), c)))