PROOF.net.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 3594-3599 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=3594&end_line=3599

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

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