LAWS.gfm_mul_inv_gf32: law of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/LAWS.bend as LAWS
Lines 271-274 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=271&end_line=274

import Base
import bend-osdev-gf@0.1.1.0/gfm.bend as M

law gfm_mul_inv_gf32:
  for +a: U32
  for nz: {U32.is_eq(M.Gfm.elt(M.Gfm.gf32(), a), 0) == False{} : Bool}
  {M.Gfm.mul(M.Gfm.gf32(), a, M.Gfm.inv(M.Gfm.gf32(), a)) == 1 : U32}

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=inv32.lift
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gfm.bend&name=Gfm.elt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gfm.bend&name=Gfm.gf32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gfm.bend&name=Gfm.inv
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gfm.bend&name=Gfm.mul