PROOF.dbs.gapp: def of bend-osdev-apparmor@0.1.0.0
Import: import bend-osdev-apparmor@0.1.0.0/PROOF.bend as PROOF
Lines 3782-3783 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=3782&end_line=3783

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

def dbs.gapp(+xs: List<&2, RD.AaDbusRule>, +ys: List<&2, RD.AaDbusRule>, +q: RD.AaDbusQuery) -> {RD.AaDbusRule.grants(RD.AaDbusRule.append(xs, ys), q) == P.AaGrant.append(RD.AaDbusRule.grants(xs, q), RD.AaDbusRule.grants(ys, q)) : List<&2, P.AaGrant>}:
  Equal.trans(List<&2, P.AaGrant>, RD.AaDbusRule.grants.of(RD.AaDbusRule.matching(RD.AaDbusRule.append(xs, ys), q)), RD.AaDbusRule.grants.of(RD.AaDbusRule.append(RD.AaDbusRule.matching(xs, q), RD.AaDbusRule.matching(ys, q))), P.AaGrant.append(RD.AaDbusRule.grants(xs, q), RD.AaDbusRule.grants(ys, q)), Equal.cong(List<&2, RD.AaDbusRule>, List<&2, P.AaGrant>, x => RD.AaDbusRule.grants.of(x), RD.AaDbusRule.matching(RD.AaDbusRule.append(xs, ys), q), RD.AaDbusRule.append(RD.AaDbusRule.matching(xs, q), RD.AaDbusRule.matching(ys, q)), dbs.match_app(xs, ys, q)), dbs.gof_app(RD.AaDbusRule.matching(xs, q), RD.AaDbusRule.matching(ys, q)))

Uses (13):
  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.gof_app
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/PROOF.bend&name=dbs.match_app
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/perm.bend&name=AaGrant
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/perm.bend&name=AaGrant.append
  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.grants
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule.grants.of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_dbus.bend&name=AaDbusRule.matching