PROOF.lin_l: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 547-558 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=547&end_line=558

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

def lin_l(ts: List<&2, Bool>, vs: List<&2, G.Gf8Bits>, +b: G.Gf8Bits, +p: G.Gf8Bits) -> {G.Gf8Bits.mul(ss(ts, vs), b, p) == ss(ts, ml(vs, b, p)) : G.Gf8Bits}:
  match ts:
    case Nil{}:
      m_zero_l(b, p)
    case Con{+t, +tr}:
      match vs:
        case Nil{}:
          m_zero_l(b, p)
        case Con{+v, +vr}:
          %lin_l(tr, vr, b, p) : {G.Gf8Bits.mul(G.Gf8Bits.xor(G.Gf8Bits.sel(t, v), ss(tr, vr)), b, p) == G.Gf8Bits.xor(G.Gf8Bits.sel(t, G.Gf8Bits.mul(v, b, p)), _) : G.Gf8Bits}
          %m_sel_l(t, v, b, p) : {G.Gf8Bits.mul(G.Gf8Bits.xor(G.Gf8Bits.sel(t, v), ss(tr, vr)), b, p) == G.Gf8Bits.xor(_, G.Gf8Bits.mul(ss(tr, vr), b, p)) : G.Gf8Bits}
          m_lin_l(G.Gf8Bits.sel(t, v), ss(tr, vr), b, p)

Uses (11):
  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=m_lin_l
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=m_sel_l
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=m_zero_l
  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=ss
  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
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.sel
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.xor