PROOF.cap.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 3551-3556 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=3551&end_line=3556

import Base
import bend-osdev-apparmor@0.1.0.0/rule_capability.bend as RC

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