PROOF.bits.sub_or_r: def of bend-osdev-caps@0.1.0.0
Import: import bend-osdev-caps@0.1.0.0/PROOF.bend as PROOF
Lines 188-201 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=188&end_line=201

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

def bits.sub_or_r(+n: Nat, +x: Word(n), +c: Word(n)) -> {C.CapBits.subset(n, c, Word.or(n, x, c)) == True{} : Bool}:
  match n:
    case 0n:
      {==}
    case 1n+n1:
      match x c:
        case WCon{True{}, +xt} WCon{True{}, +ct}:
          bits.sub_or_r(n1, xt, ct)
        case WCon{True{}, +xt} WCon{False{}, +ct}:
          bits.sub_or_r(n1, xt, ct)
        case WCon{False{}, +xt} WCon{True{}, +ct}:
          bits.sub_or_r(n1, xt, ct)
        case WCon{False{}, +xt} WCon{False{}, +ct}:
          bits.sub_or_r(n1, xt, ct)

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.or
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapBits.subset