def aria_e10

bend-osdev-legacy-ciphers@0.1.0.0 · PROOF.bend:8046

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

8046def aria_e10(s: A.LcAriaSt) -> {s == A.aria.e10(A.aria.e10(s)) : A.LcAriaSt}:
8047  match s:
8048    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
8049      %word_xx(8n, x11, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), Word.xor(8n, Word.xor(8n, x2, x7), x7), Word.xor(8n, Word.xor(8n, x3, x7), x7), x4, x5, Word.xor(8n, Word.xor(8n, x6, x7), x7), x7, Word.xor(8n, Word.xor(8n, x8, x7), x7), Word.xor(8n, Word.xor(8n, x9, x7), x7), Word.xor(8n, Word.xor(8n, x10, x7), x7), _, x12, x13, x14, x15} : A.LcAriaSt}
8050      %word_xx(8n, x10, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), Word.xor(8n, Word.xor(8n, x2, x7), x7), Word.xor(8n, Word.xor(8n, x3, x7), x7), x4, x5, Word.xor(8n, Word.xor(8n, x6, x7), x7), x7, Word.xor(8n, Word.xor(8n, x8, x7), x7), Word.xor(8n, Word.xor(8n, x9, x7), x7), _, x11, x12, x13, x14, x15} : A.LcAriaSt}
8051      %word_xx(8n, x9, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), Word.xor(8n, Word.xor(8n, x2, x7), x7), Word.xor(8n, Word.xor(8n, x3, x7), x7), x4, x5, Word.xor(8n, Word.xor(8n, x6, x7), x7), x7, Word.xor(8n, Word.xor(8n, x8, x7), x7), _, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8052      %word_xx(8n, x8, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), Word.xor(8n, Word.xor(8n, x2, x7), x7), Word.xor(8n, Word.xor(8n, x3, x7), x7), x4, x5, Word.xor(8n, Word.xor(8n, x6, x7), x7), x7, _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8053      %word_xx(8n, x6, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), Word.xor(8n, Word.xor(8n, x2, x7), x7), Word.xor(8n, Word.xor(8n, x3, x7), x7), x4, x5, _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8054      %word_xx(8n, x3, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), Word.xor(8n, Word.xor(8n, x2, x7), x7), _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8055      %word_xx(8n, x2, x7) : {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, x7), x7), Word.xor(8n, Word.xor(8n, x1, x7), x7), _, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8056      %word_xx(8n, x1, x7) : {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, x7), x7), _, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8057      %word_xx(8n, x0, x7) : {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}
8058      {==}