LAWS.get_set_same: law of lawful-arrays@0.1.0.0
Import: import lawful-arrays@0.1.0.0/LAWS.bend as LAWS
Lines 99-106 of lawful-arrays@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=lawful-arrays@0.1.0.0/LAWS.bend&start_line=99&end_line=106

import Base

# Reading what was just written gives it back.
# (This holds for every tree: set and get take the same path.)
law get_set_same:
  for -T: Data
  for a: Array<T>
  for i: U32
  for v: T
  {Pair.snd(Array<T>, T, Array.get(T, Array.set(T, a, i, v), i)) == v : T}

Uses (7):
  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=Pair.snd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/PROOF.bend&name=get_set_same.go
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=mirror