def aria_e16

bend-osdev-legacy-ciphers@0.1.0.0 · PROOF.bend:8110

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/aria.bend as A

8110def aria_e16(s: A.LcAriaSt) -> {s == A.aria.e16(A.aria.e16(s)) : A.LcAriaSt}:
8111  match s:
8112    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
8113      %word_xx(8n, x11, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), Word.xor(8n, Word.xor(8n, x5, x3), x3), Word.xor(8n, Word.xor(8n, x6, x3), x3), Word.xor(8n, Word.xor(8n, x7, x3), x3), Word.xor(8n, Word.xor(8n, x8, x3), x3), Word.xor(8n, Word.xor(8n, x9, x3), x3), Word.xor(8n, Word.xor(8n, x10, x3), x3), _, x12, x13, x14, x15} : A.LcAriaSt}
8114      %word_xx(8n, x10, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), Word.xor(8n, Word.xor(8n, x5, x3), x3), Word.xor(8n, Word.xor(8n, x6, x3), x3), Word.xor(8n, Word.xor(8n, x7, x3), x3), Word.xor(8n, Word.xor(8n, x8, x3), x3), Word.xor(8n, Word.xor(8n, x9, x3), x3), _, x11, x12, x13, x14, x15} : A.LcAriaSt}
8115      %word_xx(8n, x9, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), Word.xor(8n, Word.xor(8n, x5, x3), x3), Word.xor(8n, Word.xor(8n, x6, x3), x3), Word.xor(8n, Word.xor(8n, x7, x3), x3), Word.xor(8n, Word.xor(8n, x8, x3), x3), _, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8116      %word_xx(8n, x8, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), Word.xor(8n, Word.xor(8n, x5, x3), x3), Word.xor(8n, Word.xor(8n, x6, x3), x3), Word.xor(8n, Word.xor(8n, x7, x3), x3), _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8117      %word_xx(8n, x7, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), Word.xor(8n, Word.xor(8n, x5, x3), x3), Word.xor(8n, Word.xor(8n, x6, x3), x3), _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8118      %word_xx(8n, x6, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), Word.xor(8n, Word.xor(8n, x5, x3), x3), _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8119      %word_xx(8n, x5, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, Word.xor(8n, Word.xor(8n, x4, x3), x3), _, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8120      %word_xx(8n, x4, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{Word.xor(8n, Word.xor(8n, x0, x3), x3), x1, x2, x3, _, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8121      %word_xx(8n, x0, x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{_, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8122      {==}