Nat.mul_add_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 3984-3989 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=3984&end_line=3989

import Base

# Multiplication distributes over addition on the left: a * (b + c) = a * b + a * c, reversed to rewrite toward the simple side.
law mul_add_sym:
  for a: Nat
  for b: Nat
  for c: Nat
  {Nat.add(Nat.mul(a, b), Nat.mul(a, c)) == Nat.mul(a, Nat.add(b, c)) : Nat}

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=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.mul
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mul_add