Lemire.cm: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend as Lemire
Lines 357-363 of bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend&start_line=357&end_line=363

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/random/rand.bend as SR

# #{x < N : and_bits(w, x, m) == k}
def cm(+w: Nat, +m: Nat, +k: Nat, N: Nat) -> Nat:
  match N:
    case 0n:
      0n
    case 1n+ +x:
      Nat.add(cm(w, m, k, x), b2n(Nat.is_eq(SR.and_bits(w, x, m), k)))

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend&name=b2n
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random/rand.bend&name=and_bits