PROOF.sig.gapp: def of bend-osdev-apparmor@0.1.0.0
Import: import bend-osdev-apparmor@0.1.0.0/PROOF.bend as PROOF
Lines 3653-3654 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=3653&end_line=3654

import Base
import bend-osdev-apparmor@0.1.0.0/perm.bend as P
import bend-osdev-apparmor@0.1.0.0/rule_signal.bend as RS

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