PROOF.nfa.taut_nil: def of bend-osdev-apparmor@0.1.0.0
Import: import bend-osdev-apparmor@0.1.0.0/PROOF.bend as PROOF
Lines 314-375 of bend-osdev-apparmor@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-apparmor@0.1.0.0/PROOF.bend&start_line=314&end_line=375

import Base

def nfa.taut_nil(+a: Bool, +n: Bool, +c: Bool, +b: Bool) -> {Bool.and(a, n) == Bool.or(Bool.and(a, n), Bool.or(Bool.and(c, False{}), Bool.and(b, False{}))) : Bool}:
  match a:
    case True{}:
      match n:
        case True{}:
          match c:
            case True{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
            case False{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
        case False{}:
          match c:
            case True{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
            case False{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
    case False{}:
      match n:
        case True{}:
          match c:
            case True{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
            case False{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
        case False{}:
          match c:
            case True{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}
            case False{}:
              match b:
                case True{}:
                  {==}
                case False{}:
                  {==}

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.or