def mul_elt_l

bend-osdev-gf@0.1.1.0 · PROOF.bend:1857

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

1857def mul_elt_l(+f: G.Gf8Field, +a: U32, +b: U32) -> {G.Gf8.mul(f, a, b) == G.Gf8.mul(f, G.Gf8.elt(a), b) : U32}:
1858  match f:
1859    case G.Gf8Field{+poly, gen}:
1860      Equal.cong(G.Gf8Bits, U32, z => G.Gf8Bits.to(G.Gf8Bits.mul(z, G.Gf8Bits.of(b), G.Gf8Bits.of(poly))), G.Gf8Bits.of(a), G.Gf8Bits.of(G.Gf8Bits.to(G.Gf8Bits.of(a))), Equal.sym(G.Gf8Bits, G.Gf8Bits.of(G.Gf8Bits.to(G.Gf8Bits.of(a))), G.Gf8Bits.of(a), ot(G.Gf8Bits.of(a))))