PROOF.mnt.match_app: def of bend-osdev-apparmor@0.1.0.0
Import: import bend-osdev-apparmor@0.1.0.0/PROOF.bend as PROOF
Lines 3723-3728 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=3723&end_line=3728

import Base
import bend-osdev-apparmor@0.1.0.0/rule_mount.bend as RM

def mnt.match_app(+xs: List<&2, RM.AaMountRule>, +ys: List<&2, RM.AaMountRule>, +q: RM.AaMountQuery) -> {RM.AaMountRule.matching(RM.AaMountRule.append(xs, ys), q) == RM.AaMountRule.append(RM.AaMountRule.matching(xs, q), RM.AaMountRule.matching(ys, q)) : List<&2, RM.AaMountRule>}:
  match xs:
    case Nil{}:
      {==}
    case Con{r, t}:
      Equal.trans(List<&2, RM.AaMountRule>, RM.AaMountRule.matching.go(RM.AaMountRule.matches(r, q), r, RM.AaMountRule.matching(RM.AaMountRule.append(t, ys), q)), RM.AaMountRule.matching.go(RM.AaMountRule.matches(r, q), r, RM.AaMountRule.append(RM.AaMountRule.matching(t, q), RM.AaMountRule.matching(ys, q))), RM.AaMountRule.append(RM.AaMountRule.matching.go(RM.AaMountRule.matches(r, q), r, RM.AaMountRule.matching(t, q)), RM.AaMountRule.matching(ys, q)), Equal.cong(List<&2, RM.AaMountRule>, List<&2, RM.AaMountRule>, x => RM.AaMountRule.matching.go(RM.AaMountRule.matches(r, q), r, x), RM.AaMountRule.matching(RM.AaMountRule.append(t, ys), q), RM.AaMountRule.append(RM.AaMountRule.matching(t, q), RM.AaMountRule.matching(ys, q)), mnt.match_app(t, ys, q)), mnt.mgo(RM.AaMountRule.matches(r, q), r, RM.AaMountRule.matching(t, q), RM.AaMountRule.matching(ys, q)))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/PROOF.bend&name=mnt.mgo
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_mount.bend&name=AaMountQuery
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_mount.bend&name=AaMountRule
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_mount.bend&name=AaMountRule.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_mount.bend&name=AaMountRule.matches
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_mount.bend&name=AaMountRule.matching
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_mount.bend&name=AaMountRule.matching.go