def mlr

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

1718def mlr(+b: G.Gf8Bits, +p: G.Gf8Bits) -> {ml(basis(), b, p) == mr(basis(), b, p) : List<&2, G.Gf8Bits>}:
1719  %comm_e0(b, p) : {ml(basis(), b, p) == [_, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1720  %comm_e1(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), _, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1721  %comm_e2(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), _, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1722  %comm_e3(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, b, p), _, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1723  %comm_e4(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, b, p), _, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1724  %comm_e5(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, b, p), _, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, p), G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1725  %comm_e6(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, b, p), _, G.Gf8Bits.mul(b, G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, False{}, True{}}, p)] : List<&2, G.Gf8Bits>}
1726  %comm_e7(b, p) : {ml(basis(), b, p) == [G.Gf8Bits.mul(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, False{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, False{}, False{}}, b, p), G.Gf8Bits.mul(G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, False{}, True{}, False{}}, b, p), _] : List<&2, G.Gf8Bits>}
1727  {==}
Uses (15)

Used by (1)

bend-osdev-gf@0.1.1.0/PROOF:comm