Uint64n.add_eq0_r: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/uint64n.bend as Uint64n
Lines 43-48 of bend-collections-laws-math@1.0.0.0/proofs/math/random/uint64n.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/uint64n.bend&start_line=43&end_line=48

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N

def add_eq0_r(+a: Nat, +b: Nat, +h: {Nat.add(a, b) == 0n : Nat}) -> {b == 0n : Nat}:
  match a:
    case 0n:
      h
    case 1n+p:
      Empty.absurd({b == 0n : Nat}, N.succ_zero(Nat.add(p, b), h))

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=succ_zero