Maybe.maybe_map_bind_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/maybe.bend as Maybe
Lines 379-387 of bend-mathlib@0.8.1.0/maybe.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/maybe.bend&start_line=379&end_line=387

import Base

# Mapping after a bind maps inside the bound function, reversed to rewrite toward the simple side.
law maybe_map_bind_sym:
  for ~A: Data
  for ~B: Data
  for ~C: Data
  for ~f: A -> Maybe<&2, B>
  for ~g: B -> C
  for m: Maybe<&2, A>
  {Maybe.bind(&2, A, C, m, x => Maybe.map(&2, B, C, g, f(x))) == Maybe.map(&2, B, C, g, Maybe.bind(&2, A, B, m, f)) : Maybe<&2, C>}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.bind
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.map
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/maybe.bend&name=maybe_map_bind