LAWS.last_set64_highest: law of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/LAWS.bend as LAWS
Lines 136-142 of bend-osdev-algo@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-algo@0.1.0.0/LAWS.bend&start_line=136&end_line=142

import Base
import bend-osdev-word64@0.1.0.0/word64.bend as W
import bend-osdev-algo@0.1.0.0/algo.bend as A

law last_set64_highest:
  for a: W.W64
  for k: Nat
  for j: Nat
  for e: {A.bits64.last_set(a) == Some{k} : Maybe<&2, Nat>}
  for l: {Nat.is_lt(k, j) == True{} : Bool}
  {A.bits64.test(a, j) == False{} : Bool}

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=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&name=bitw.last_set_highest
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bits64.last_set
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bits64.test
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bits64.word
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64