LAWS.first_set_lowest: law of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/LAWS.bend as LAWS
Lines 47-53 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=47&end_line=53

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

law first_set_lowest:
  for x: U32
  for k: Nat
  for j: Nat
  for e: {A.bits32.first_set(x) == Some{k} : Maybe<&2, Nat>}
  for l: {Nat.is_lt(j, k) == True{} : Bool}
  {A.bits32.test(x, 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=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&name=bitw.first_set_lowest
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bits32.first_set
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bits32.test
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bits32.word