Nat.mod_mod_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4399-4403 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=4399&end_line=4403

import Base

# Taking a remainder twice is taking it once: (a % n) % n = a % n, reversed to rewrite toward the simple side.
law mod_mod_sym:
  for a: Nat
  for n: Nat
  {Nat.mod(a, n) == Nat.mod(Nat.mod(a, n), n) : Nat}

Uses (4):
  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.mod
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mod_mod