def ones_zero
import bend-collections-laws-math@1.0.0.0/proofs/math/number/bitcount.bend as Bitcountimport Base
import bend-collections-laws-math@1.0.0.0/spec/math/number.bend as SN
22def ones_zero(+k: Nat) -> {SN.ones(k, 0n) == 0n : Nat}:
23 match k:
24 case 0n:
25 {==}
26 case 1n+ +p:
27 ones_zero(p)