PROOF.caps.has_of: def of bend-osdev-caps@0.1.0.0
Import: import bend-osdev-caps@0.1.0.0/PROOF.bend as PROOF
Lines 709-715 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=709&end_line=715

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

# a set that has capability k contains the set {k} (has is that subset test)
def caps.has_of(+v: Bool, +s: C.CapSet(), +x: U32) -> {C.CapSet.has.go(v, s, x) == True{} : Bool} -> {C.CapSet.subset(C.CapSet.of.go(v, x), s) == True{} : Bool}:
  match v:
    case False{}:
      h => bits.absurd(C.CapSet.subset(C.CapSet.of.go(False{}, x), s), h)
    case True{}:
      h => h

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/PROOF.bend&name=bits.absurd
  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.has.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet.of.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-caps@0.1.0.0/caps.bend&name=CapSet.subset