LAWS.mul_inv_aes: law of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/LAWS.bend as LAWS
Lines 92-95 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=92&end_line=95

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

law mul_inv_aes:
  for +a: U32
  for nz: {G.Gf8.is_zero(a) == False{} : Bool}
  {G.Gf8.mul(G.Gf8.aes(), a, G.Gf8.inv(G.Gf8.aes(), a)) == 1 : U32}

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.trans
  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=mul_elt_l
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=mul_inv_aes.lift
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=pow_elt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.aes
  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.inv
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.is_zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.mul