PROOF.set.nonroot: def of bend-osdev-caps@0.1.0.0
Import: import bend-osdev-caps@0.1.0.0/PROOF.bend as PROOF
Lines 702-705 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=702&end_line=705

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

def set.nonroot(+i: C.CapSet(), +b: C.CapSet(), +a: C.CapSet()) -> {C.CapSet.union(C.CapSet.union(C.CapSet.inter(i, C.CapSet.empty()), C.CapSet.inter(C.CapSet.empty(), b)), a) == a : C.CapSet()}:
  match i b a:
    case C.CapSetW{U32{+il}, +ih} C.CapSetW{U32{+bl}, +bh} C.CapSetW{U32{+al}, +ah}:
      set.eq_intro(Word.or(32n, Word.or(32n, Word.and(32n, il, Word.zero(32n)), Word.and(32n, Word.zero(32n), bl)), al), al, Word.or(9n, Word.or(9n, Word.and(9n, ih, Word.zero(9n)), Word.and(9n, Word.zero(9n), bh)), ah), ah, bits.nonroot(32n, il, bl, al), bits.nonroot(9n, ih, bh, ah))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.or
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&name=bits.nonroot
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&name=set.eq_intro
  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.empty
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet.inter
  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=CapSetW