PROOF.comm16.bits: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 7481-7542 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=7481&end_line=7542

import Base
import bend-osdev-gf@0.1.1.0/gfm.bend as M

def comm16.bits(+a0: Bool, +a1: Bool, +a2: Bool, +a3: Bool, +b0: Bool, +b1: Bool, +b2: Bool, +b3: Bool) -> {M.gfm.mul.raw(M.Gfm.gf16(), U32{WCon{a0, WCon{a1, WCon{a2, WCon{a3, Word.zero(28n)}}}}}, U32{WCon{b0, WCon{b1, WCon{b2, WCon{b3, Word.zero(28n)}}}}}) == M.gfm.mul.raw(M.Gfm.gf16(), U32{WCon{b0, WCon{b1, WCon{b2, WCon{b3, Word.zero(28n)}}}}}, U32{WCon{a0, WCon{a1, WCon{a2, WCon{a3, Word.zero(28n)}}}}}) : U32}:
  match a0:
    case True{}:
      match a1:
        case True{}:
          match a2:
            case True{}:
              match a3:
                case True{}:
                  comm16.s1111(b0, b1, b2, b3)
                case False{}:
                  comm16.s1110(b0, b1, b2, b3)
            case False{}:
              match a3:
                case True{}:
                  comm16.s1101(b0, b1, b2, b3)
                case False{}:
                  comm16.s1100(b0, b1, b2, b3)
        case False{}:
          match a2:
            case True{}:
              match a3:
                case True{}:
                  comm16.s1011(b0, b1, b2, b3)
                case False{}:
                  comm16.s1010(b0, b1, b2, b3)
            case False{}:
              match a3:
                case True{}:
                  comm16.s1001(b0, b1, b2, b3)
                case False{}:
                  comm16.s1000(b0, b1, b2, b3)
    case False{}:
      match a1:
        case True{}:
          match a2:
            case True{}:
              match a3:
                case True{}:
                  comm16.s0111(b0, b1, b2, b3)
                case False{}:
                  comm16.s0110(b0, b1, b2, b3)
            case False{}:
              match a3:
                case True{}:
                  comm16.s0101(b0, b1, b2, b3)
                case False{}:
                  comm16.s0100(b0, b1, b2, b3)
        case False{}:
          match a2:
            case True{}:
              match a3:
                case True{}:
                  comm16.s0011(b0, b1, b2, b3)
                case False{}:
                  comm16.s0010(b0, b1, b2, b3)
            case False{}:
              match a3:
                case True{}:
                  comm16.s0001(b0, b1, b2, b3)
                case False{}:
                  comm16.s0000(b0, b1, b2, b3)

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0000
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0001
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0010
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0011
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0100
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0101
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0110
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s0111
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1000
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1001
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1010
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1011
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1100
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1101
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1110
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=comm16.s1111
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gfm.bend&name=Gfm.gf16
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gfm.bend&name=gfm.mul.raw