PROOF.sig.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 3637-3642 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=3637&end_line=3642

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

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