LAWS.index_of_u32: law of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/LAWS.bend as LAWS
Lines 146-150 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=146&end_line=150

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

law index_of_u32:
  for d: Nat
  for i: U32
  for hi: {Nat.is_lt(U32.to_nat(i), A.Arrays.slots(d)) == True{} : Bool}
  {A.Arrays.index(d, i) == U32.to_nat(i) : Nat}

Uses (8):
  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
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.index_of_u32.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