law add_mod_carry
import bend-kit-lemmas@0.1.1.0/lemmas.bend as Lemmasimport Base
import bend-mathlib@0.7.4.0/nat.bend as MNat
438law add_mod_carry:
439 for q: Bool
440 for +r: Nat
441 for +m: Nat
442 for +s: Nat
443 for e: {Nat.add(r, scale(q, m)) == s : Nat}
444 for h: MNat.lt(r, m)
445 {r == Nat.mod(s, m) : Nat}