Nat.max_add_add_left: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 3099-3104 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=3099&end_line=3104

import Base

# A common left summand leaves the maximum: max (a + b) (a + c) = a + max b c.
law max_add_add_left:
  for a: Nat
  for -b: Nat
  for -c: Nat
  {Nat.max(Nat.add(a, b), Nat.add(a, c)) == Nat.add(a, Nat.max(b, c)) : Nat}

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max