LAWS.pow_add: law of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/LAWS.bend as LAWS
Lines 83-88 of bend-osdev-gf@0.1.1.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/LAWS.bend&start_line=83&end_line=88

import Base
import bend-osdev-gf@0.1.1.0/gf.bend as G

law pow_add:
  for +f: G.Gf8Field
  for +a: U32
  for +m: Nat
  for +n: Nat
  {G.Gf8.pow(f, a, Nat.add(m, n)) == G.Gf8.mul(f, G.Gf8.pow(f, a, m), G.Gf8.pow(f, a, n)) : U32}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/LAWS.bend&name=mul_assoc
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/LAWS.bend&name=mul_one
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=elt_pow
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.elt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.mul
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.pow
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Field