PROOF.file.gapp: def of bend-osdev-apparmor@0.1.0.0
Import: import bend-osdev-apparmor@0.1.0.0/PROOF.bend as PROOF
Lines 3522-3523 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=3522&end_line=3523

import Base
import bend-osdev-apparmor@0.1.0.0/perm.bend as P
import bend-osdev-apparmor@0.1.0.0/rule_file.bend as F

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