ProofTabCases.gc.elt0.s011: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/proof_tab_cases.bend as ProofTabCases
Lines 1185-1310 of bend-osdev-gf@0.1.1.0/proof_tab_cases.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/proof_tab_cases.bend&start_line=1185&end_line=1310

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

def gc.elt0.s011(+b0: Bool, +b1: Bool, +b2: Bool, +b3: Bool, +b4: Bool, h: {U32.is_eq(G.Gf8Bits.to(G.Gf8Bits{b0, b1, b2, b3, b4, True{}, True{}, False{}}), 0) == True{} : Bool}) -> {G.Gf8Bits.to(G.Gf8Bits{b0, b1, b2, b3, b4, True{}, True{}, False{}}) == 0 : U32}:
  match b0:
    case True{}:
      match b1:
        case True{}:
          match b2:
            case True{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, True{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, True{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, True{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, True{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
            case False{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, False{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, False{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, False{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, True{}, False{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
        case False{}:
          match b2:
            case True{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, True{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, True{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, True{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, True{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
            case False{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, False{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, False{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, False{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{True{}, False{}, False{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
    case False{}:
      match b1:
        case True{}:
          match b2:
            case True{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, True{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, True{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, True{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, True{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
            case False{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, False{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, False{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, False{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, True{}, False{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
        case False{}:
          match b2:
            case True{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, True{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, True{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, True{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, True{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
            case False{}:
              match b3:
                case True{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, False{}, True{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, False{}, True{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                case False{}:
                  match b4:
                    case True{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, False{}, False{}, True{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))
                    case False{}:
                      Empty.absurd({G.Gf8Bits.to(G.Gf8Bits{False{}, False{}, False{}, False{}, False{}, True{}, True{}, False{}}) == 0 : U32}, GT.gt.ft(h))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  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.to
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/proof_tab.bend&name=gt.ft