PROOF.file.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 3508-3513 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=3508&end_line=3513

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

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