PROOF.net.gapp: def of bend-osdev-apparmor@0.1.0.0
Import: import bend-osdev-apparmor@0.1.0.0/PROOF.bend as PROOF
Lines 3610-3611 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=3610&end_line=3611

import Base
import bend-osdev-apparmor@0.1.0.0/perm.bend as P
import bend-osdev-apparmor@0.1.0.0/rule_network.bend as RN

def net.gapp(+xs: List<&2, RN.AaNetRule>, +ys: List<&2, RN.AaNetRule>, +q: RN.AaNetQuery) -> {RN.AaNetRule.grants(RN.AaNetRule.append(xs, ys), q) == P.AaGrant.append(RN.AaNetRule.grants(xs, q), RN.AaNetRule.grants(ys, q)) : List<&2, P.AaGrant>}:
  Equal.trans(List<&2, P.AaGrant>, RN.AaNetRule.grants.of(RN.AaNetRule.matching(RN.AaNetRule.append(xs, ys), q)), RN.AaNetRule.grants.of(RN.AaNetRule.append(RN.AaNetRule.matching(xs, q), RN.AaNetRule.matching(ys, q))), P.AaGrant.append(RN.AaNetRule.grants(xs, q), RN.AaNetRule.grants(ys, q)), Equal.cong(List<&2, RN.AaNetRule>, List<&2, P.AaGrant>, x => RN.AaNetRule.grants.of(x), RN.AaNetRule.matching(RN.AaNetRule.append(xs, ys), q), RN.AaNetRule.append(RN.AaNetRule.matching(xs, q), RN.AaNetRule.matching(ys, q)), net.match_app(xs, ys, q)), net.gof_app(RN.AaNetRule.matching(xs, q), RN.AaNetRule.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=net.gof_app
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/PROOF.bend&name=net.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_network.bend&name=AaNetQuery
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_network.bend&name=AaNetRule
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_network.bend&name=AaNetRule.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_network.bend&name=AaNetRule.grants
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_network.bend&name=AaNetRule.grants.of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-apparmor@0.1.0.0/rule_network.bend&name=AaNetRule.matching