PROOF.ex.nonroot_e: def of bend-osdev-caps@0.1.0.0
Import: import bend-osdev-caps@0.1.0.0/PROOF.bend as PROOF
Lines 794-803 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=794&end_line=803

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.nonroot_e(+nr: Bool, +r0: Bool, +e0: Bool, +s: C.CapState) -> {r0 == False{} : Bool} -> {e0 == False{} : Bool} -> {C.CapState.effective(E.CapExec.sets(E.CapExec.flags.go(nr, r0, e0, False{}, None{}), s)) == C.CapState.ambient(s) : C.CapSet()}:
  match nr r0 e0 s:
    case True{} r0 e0 C.CapState{+p, +i, +e, +b, +a}:
      hr => he => {==}
    case False{} True{} e0 C.CapState{+p, +i, +e, +b, +a}:
      hr => he => bits.absurd_tf(C.CapSet(), C.CapState.effective(E.CapExec.sets(E.CapExec.flags.go(False{}, True{}, e0, False{}, None{}), C.CapState{p, i, e, b, a})), a, hr)
    case False{} False{} True{} C.CapState{+p, +i, +e, +b, +a}:
      hr => he => bits.absurd_tf(C.CapSet(), C.CapState.effective(E.CapExec.sets(E.CapExec.flags.go(False{}, False{}, True{}, False{}, None{}), C.CapState{p, i, e, b, a})), a, he)
    case False{} False{} False{} C.CapState{+p, +i, +e, +b, +a}:
      hr => he => {==}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&name=bits.absurd_tf
  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=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.effective
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/exec.bend&name=CapExec.flags.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/exec.bend&name=CapExec.sets