List.get_map_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 2936-2943 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=2936&end_line=2943

import Base

# Indexing a map is mapping the indexed element, reversed to rewrite toward the simple side.
law get_map_sym:
  for ~A: Type
  for ~B: Type
  for ~f: A -> B
  for xs: List<A>
  for n: Nat
  {Maybe.map(&1, A, B, f, List.get(&1, A, xs, n)) == List.get(&1, B, List.map(~A, ~B, ~f, xs), n) : Maybe<&1, B>}

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.map
  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_map