LAWS.mul_distrib: law of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/LAWS.bend as LAWS
Lines 38-43 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=38&end_line=43

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

law mul_distrib:
  for +f: G.Gf8Field
  for +a: U32
  for +b: U32
  for +c: U32
  {G.Gf8.mul(f, a, G.Gf8.add(b, c)) == G.Gf8.add(G.Gf8.mul(f, a, b), G.Gf8.mul(f, a, c)) : 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=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=m_lin_r
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=ot
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.add
  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=Gf8Bits
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.mul
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.to
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Field