PROOF.sp.bb16: def of bend-osdev-cipher-modes@0.1.0.0
Import: import bend-osdev-cipher-modes@0.1.0.0/PROOF.bend as PROOF
Lines 762-832 of bend-osdev-cipher-modes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&start_line=762&end_line=832

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M

# a block of exactly 16 bytes gives them back, masked
def sp.bb16(ys: List<&2, U32>) -> {Nat.is_eq(B.len(ys), 16n) == True{} : Bool} -> {M.cm.bytes_of(M.cm.block_of(ys)) == B.mask(ys) : List<&2, U32>}:
  match ys:
    case Nil{}:
      h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Nil{})) == B.mask(Nil{}) : List<&2, U32>}, h)
    case Con{+y0, +r0}:
      match r0:
        case Nil{}:
          h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Nil{}})) == B.mask(Con{y0, Nil{}}) : List<&2, U32>}, h)
        case Con{+y1, +r1}:
          match r1:
            case Nil{}:
              h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Nil{}}})) == B.mask(Con{y0, Con{y1, Nil{}}}) : List<&2, U32>}, h)
            case Con{+y2, +r2}:
              match r2:
                case Nil{}:
                  h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Nil{}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Nil{}}}}) : List<&2, U32>}, h)
                case Con{+y3, +r3}:
                  match r3:
                    case Nil{}:
                      h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Nil{}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Nil{}}}}}) : List<&2, U32>}, h)
                    case Con{+y4, +r4}:
                      match r4:
                        case Nil{}:
                          h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Nil{}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Nil{}}}}}}) : List<&2, U32>}, h)
                        case Con{+y5, +r5}:
                          match r5:
                            case Nil{}:
                              h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Nil{}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Nil{}}}}}}}) : List<&2, U32>}, h)
                            case Con{+y6, +r6}:
                              match r6:
                                case Nil{}:
                                  h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Nil{}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Nil{}}}}}}}}) : List<&2, U32>}, h)
                                case Con{+y7, +r7}:
                                  match r7:
                                    case Nil{}:
                                      h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Nil{}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Nil{}}}}}}}}}) : List<&2, U32>}, h)
                                    case Con{+y8, +r8}:
                                      match r8:
                                        case Nil{}:
                                          h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Nil{}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Nil{}}}}}}}}}}) : List<&2, U32>}, h)
                                        case Con{+y9, +r9}:
                                          match r9:
                                            case Nil{}:
                                              h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Nil{}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Nil{}}}}}}}}}}}) : List<&2, U32>}, h)
                                            case Con{+y10, +r10}:
                                              match r10:
                                                case Nil{}:
                                                  h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Nil{}}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Nil{}}}}}}}}}}}}) : List<&2, U32>}, h)
                                                case Con{+y11, +r11}:
                                                  match r11:
                                                    case Nil{}:
                                                      h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Nil{}}}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Nil{}}}}}}}}}}}}}) : List<&2, U32>}, h)
                                                    case Con{+y12, +r12}:
                                                      match r12:
                                                        case Nil{}:
                                                          h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Nil{}}}}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Nil{}}}}}}}}}}}}}}) : List<&2, U32>}, h)
                                                        case Con{+y13, +r13}:
                                                          match r13:
                                                            case Nil{}:
                                                              h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Nil{}}}}}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Nil{}}}}}}}}}}}}}}}) : List<&2, U32>}, h)
                                                            case Con{+y14, +r14}:
                                                              match r14:
                                                                case Nil{}:
                                                                  h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Con{y14, Nil{}}}}}}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Con{y14, Nil{}}}}}}}}}}}}}}}}) : List<&2, U32>}, h)
                                                                case Con{+y15, +t}:
                                                                  match t:
                                                                    case Nil{}:
                                                                      h => sp.blk16g(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, y10, y11, y12, y13, y14, y15, Nil{})
                                                                    case Con{+z, +zs}:
                                                                      h => bo.absurd({M.cm.bytes_of(M.cm.block_of(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Con{y14, Con{y15, Con{z, zs}}}}}}}}}}}}}}}}})) == B.mask(Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Con{y14, Con{y15, Con{z, zs}}}}}}}}}}}}}}}}}) : List<&2, U32>}, h)

Uses (10):
  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=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=mask
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=bo.absurd
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=sp.blk16g
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.block_of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.bytes_of