LAWS.index_of_nat: law of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/LAWS.bend as LAWS
Lines 132-137 of bend-osdev-array@0.1.0.1/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-array@0.1.0.1/LAWS.bend&start_line=132&end_line=137

import Base
import bend-osdev-array@0.1.0.1/array.bend as A

law index_of_nat:
  for d: Nat
  for hd: {Nat.is_lt(d, 32n) == True{} : Bool}
  for k: Nat
  for hk: {Nat.is_lt(k, A.Arrays.slots(d)) == True{} : Bool}
  {A.Arrays.index(d, U32.from_nat(k)) == k : Nat}

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=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.from_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.index_of_nat.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/array.bend&name=Arrays.index
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/array.bend&name=Arrays.slots