PROOF.ex.root_p: def of bend-osdev-caps@0.1.0.0
Import: import bend-osdev-caps@0.1.0.0/PROOF.bend as PROOF
Lines 769-774 of bend-osdev-caps@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&start_line=769&end_line=774

import Base
import bend-osdev-caps@0.1.0.0/caps.bend as C
import bend-osdev-caps@0.1.0.0/exec.bend as E

def ex.root_p(+priv: Bool, +s: C.CapState) -> {C.CapSet.subset(C.CapState.ambient(s), C.CapState.inheritable(s)) == True{} : Bool} -> {C.CapState.permitted(E.CapExec.sets(E.CapExecFlags{priv, True{}, C.CapSet.full(), C.CapSet.full()}, s)) == C.CapSet.union(C.CapState.inheritable(s), C.CapState.bounding(s)) : C.CapSet()}:
  match priv s:
    case True{} C.CapState{+p, +i, +e, +b, +a}:
      h => set.root_z(i, b)
    case False{} C.CapState{+p, +i, +e, +b, +a}:
      h => set.root_a(i, b, a)(h)

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&name=set.root_a
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&name=set.root_z
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet.full
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet.subset
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet.union
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapState
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapState.ambient
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapState.bounding
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapState.inheritable
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapState.permitted
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/exec.bend&name=CapExec.sets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/exec.bend&name=CapExecFlags