def uw_zero
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32alg.bend as U32algimport Base
100def uw_zero(+n: Nat) -> {uw(n, Word.zero(n)) == 0n : Nat}:
101 match n:
102 case 0n:
103 {==}
104 case 1n+p:
105 %Equal.sym(Nat, uw(p, Word.zero(p)), 0n, uw_zero(p)) : {Nat.add(0n, Nat.double(_)) == 0n : Nat}
106 {==}