LAWS.get_set_other: law of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/LAWS.bend as LAWS
Lines 113-123 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=113&end_line=123

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

law get_set_other:
  for -T: Data
  for d: Nat
  for a: Array<T>
  for h: {A.Arrays.is_perfect(T, d, a) == True{} : Bool}
  for hd: {Nat.is_lt(d, 32n) == True{} : Bool}
  for i: U32
  for j: U32
  for v: T
  for hij: {U32.is_eq(U32.and(i, U32.sub(U32.shln(1, d), 1)), U32.and(j, U32.sub(U32.shln(1, d), 1))) == False{} : Bool}
  {Pair.snd(Array<T>, T, Array.get(T, Array.set(T, a, i, v), j)) == Pair.snd(Array<T>, T, Array.get(T, a, j)) : T}

Uses (15):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.set
  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=Pair.snd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shln
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.sub
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.get_set_other.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.reflect
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/array.bend&name=Arrays.is_perfect