PROOF.mlr: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 1718-1727 of bend-osdev-gf@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&start_line=1718&end_line=1727

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

def mlr(+b: G.Gf8Bits, +p: G.Gf8Bits) -> {ml(basis(), b, p) == mr(basis(), b, p) : List<&2, G.Gf8Bits>}:
  %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>}
  %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>}
  %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>}
  %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>}
  %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>}
  %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>}
  %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>}
  %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>}
  {==}

Uses (15):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=basis
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e0
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e1
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e2
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e3
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e4
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e5
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e6
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm_e7
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=ml
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=mr
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.mul