List.get_set_self_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 2960-2967 of bend-mathlib@0.8.1.0/list.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/list.bend&start_line=2960&end_line=2967

import Base

# Reading the index just set gives the new value wherever the index is in range, reversed to rewrite toward the simple side.
law get_set_self_sym:
  for -a: Quant
  for -A: Kind(a)
  for xs: List<a, A>
  for n: Nat
  for -x: A
  {Maybe.map(a, A, A, y => x, List.get(a, A, xs, n)) == List.get(a, A, List.set(a, A, xs, n, x), n) : Maybe<a, A>}

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.set
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.map
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=get_set_self