def aria_e6

bend-osdev-aria@0.1.0.0 · PROOF.bend:6293

import Base
import bend-osdev-cipher-core@0.1.0.0/LAWS.bend as CoreL
import bend-osdev-aria@0.1.0.0/aria.bend as A

6293def aria_e6(s: A.LcAriaSt) -> {s == A.aria.e6(A.aria.e6(s)) : A.LcAriaSt}:
6294  match s:
6295    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6296      %CoreL.word_xor_cancel(8n, x14, x9) : {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, x9), x9), Word.xor(8n, Word.xor(8n, x1, x9), x9), x2, x3, x4, Word.xor(8n, Word.xor(8n, x5, x9), x9), Word.xor(8n, Word.xor(8n, x6, x9), x9), x7, x8, x9, x10, Word.xor(8n, Word.xor(8n, x11, x9), x9), Word.xor(8n, Word.xor(8n, x12, x9), x9), x13, _, x15} : A.LcAriaSt}
6297      %CoreL.word_xor_cancel(8n, x12, x9) : {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, x9), x9), Word.xor(8n, Word.xor(8n, x1, x9), x9), x2, x3, x4, Word.xor(8n, Word.xor(8n, x5, x9), x9), Word.xor(8n, Word.xor(8n, x6, x9), x9), x7, x8, x9, x10, Word.xor(8n, Word.xor(8n, x11, x9), x9), _, x13, x14, x15} : A.LcAriaSt}
6298      %CoreL.word_xor_cancel(8n, x11, x9) : {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, x9), x9), Word.xor(8n, Word.xor(8n, x1, x9), x9), x2, x3, x4, Word.xor(8n, Word.xor(8n, x5, x9), x9), Word.xor(8n, Word.xor(8n, x6, x9), x9), x7, x8, x9, x10, _, x12, x13, x14, x15} : A.LcAriaSt}
6299      %CoreL.word_xor_cancel(8n, x6, x9) : {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, x9), x9), Word.xor(8n, Word.xor(8n, x1, x9), x9), x2, x3, x4, Word.xor(8n, Word.xor(8n, x5, x9), x9), _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6300      %CoreL.word_xor_cancel(8n, x5, x9) : {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, x9), x9), Word.xor(8n, Word.xor(8n, x1, x9), x9), x2, x3, x4, _, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6301      %CoreL.word_xor_cancel(8n, x1, x9) : {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, x9), x9), _, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6302      %CoreL.word_xor_cancel(8n, x0, x9) : {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}
6303      {==}