def cmp_add
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/natcmp.bend as Natcmpimport Base
43def cmp_add(+d: Nat, +a: Nat, +b: Nat) -> {Nat.cmp(Nat.add(d, a), Nat.add(d, b)) == Nat.cmp(a, b) : Cmp}:
44 match d:
45 case 0n:
46 {==}
47 case 1n+ +dp:
48 cmp_add(dp, a, b)