def tl.mul_elt
bend-osdev-gf@0.1.1.0 · PROOF.bend:7856
import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
import Base
import bend-osdev-gf@0.1.1.0/gf.bend as G
import bend-osdev-gf@0.1.1.0/LAWS.bend as Laws
7856def tl.mul_elt(+f: G.Gf8Field, +a: U32, +b: U32) -> {G.Gf8.mul(f, G.Gf8.elt(a), G.Gf8.elt(b)) == G.Gf8.mul(f, a, b) : U32}:
7857 Equal.trans(U32, G.Gf8.mul(f, G.Gf8.elt(a), G.Gf8.elt(b)), G.Gf8.mul(f, a, G.Gf8.elt(b)), G.Gf8.mul(f, a, b), Equal.sym(U32, G.Gf8.mul(f, a, G.Gf8.elt(b)), G.Gf8.mul(f, G.Gf8.elt(a), G.Gf8.elt(b)), mul_elt_l(f, a, G.Gf8.elt(b))), Equal.trans(U32, G.Gf8.mul(f, a, G.Gf8.elt(b)), G.Gf8.mul(f, G.Gf8.elt(b), a), G.Gf8.mul(f, a, b), Laws.mul_comm(f, a, G.Gf8.elt(b)), Equal.trans(U32, G.Gf8.mul(f, G.Gf8.elt(b), a), G.Gf8.mul(f, b, a), G.Gf8.mul(f, a, b), Equal.sym(U32, G.Gf8.mul(f, b, a), G.Gf8.mul(f, G.Gf8.elt(b), a), mul_elt_l(f, b, a)), Laws.mul_comm(f, b, a))))