def comm

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

1729def comm(+a: G.Gf8Bits, +b: G.Gf8Bits, +p: G.Gf8Bits) -> {G.Gf8Bits.mul(a, b, p) == G.Gf8Bits.mul(b, a, p) : G.Gf8Bits}:
1730  %dec(a) : {G.Gf8Bits.mul(_, b, p) == G.Gf8Bits.mul(b, a, p) : G.Gf8Bits}
1731  %dec(a) : {G.Gf8Bits.mul(ss(bl(a), basis()), b, p) == G.Gf8Bits.mul(b, _, p) : G.Gf8Bits}
1732  Equal.trans(G.Gf8Bits, G.Gf8Bits.mul(ss(bl(a), basis()), b, p), ss(bl(a), ml(basis(), b, p)), G.Gf8Bits.mul(b, ss(bl(a), basis()), p), lin_l(bl(a), basis(), b, p), Equal.trans(G.Gf8Bits, ss(bl(a), ml(basis(), b, p)), ss(bl(a), mr(basis(), b, p)), G.Gf8Bits.mul(b, ss(bl(a), basis()), p), Equal.cong(List<&2, G.Gf8Bits>, G.Gf8Bits, l => ss(bl(a), l), ml(basis(), b, p), mr(basis(), b, p), mlr(b, p)), Equal.sym(G.Gf8Bits, G.Gf8Bits.mul(b, ss(bl(a), basis()), p), ss(bl(a), mr(basis(), b, p)), lin_r(bl(a), basis(), b, p))))
def comm

Uses (15)

Used by (2)
