PROOF.dbs.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 3766-3771 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=3766&end_line=3771

import Base
import bend-osdev-apparmor@0.1.0.0/rule_dbus.bend as RD

def dbs.match_app(+xs: List<&2, RD.AaDbusRule>, +ys: List<&2, RD.AaDbusRule>, +q: RD.AaDbusQuery) -> {RD.AaDbusRule.matching(RD.AaDbusRule.append(xs, ys), q) == RD.AaDbusRule.append(RD.AaDbusRule.matching(xs, q), RD.AaDbusRule.matching(ys, q)) : List<&2, RD.AaDbusRule>}:
  match xs:
    case Nil{}:
      {==}
    case Con{r, t}:
      Equal.trans(List<&2, RD.AaDbusRule>, RD.AaDbusRule.matching.go(RD.AaDbusRule.matches(r, q), r, RD.AaDbusRule.matching(RD.AaDbusRule.append(t, ys), q)), RD.AaDbusRule.matching.go(RD.AaDbusRule.matches(r, q), r, RD.AaDbusRule.append(RD.AaDbusRule.matching(t, q), RD.AaDbusRule.matching(ys, q))), RD.AaDbusRule.append(RD.AaDbusRule.matching.go(RD.AaDbusRule.matches(r, q), r, RD.AaDbusRule.matching(t, q)), RD.AaDbusRule.matching(ys, q)), Equal.cong(List<&2, RD.AaDbusRule>, List<&2, RD.AaDbusRule>, x => RD.AaDbusRule.matching.go(RD.AaDbusRule.matches(r, q), r, x), RD.AaDbusRule.matching(RD.AaDbusRule.append(t, ys), q), RD.AaDbusRule.append(RD.AaDbusRule.matching(t, q), RD.AaDbusRule.matching(ys, q)), dbs.match_app(t, ys, q)), dbs.mgo(RD.AaDbusRule.matches(r, q), r, RD.AaDbusRule.matching(t, q), RD.AaDbusRule.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=dbs.mgo
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusQuery
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule.matches
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule.matching
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule.matching.go