def aria_e8

bend-osdev-aria@0.1.0.0 · PROOF.bend:6311

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

6311def aria_e8(s: A.LcAriaSt) -> {s == A.aria.e8(A.aria.e8(s)) : A.LcAriaSt}:
6312  match s:
6313    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6314      %CoreL.word_xor_cancel(8n, x15, x8) : {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, x8), x8), Word.xor(8n, Word.xor(8n, x1, x8), x8), x2, x3, Word.xor(8n, Word.xor(8n, x4, x8), x8), x5, x6, Word.xor(8n, Word.xor(8n, x7, x8), x8), x8, x9, Word.xor(8n, Word.xor(8n, x10, x8), x8), x11, x12, Word.xor(8n, Word.xor(8n, x13, x8), x8), x14, _} : A.LcAriaSt}
6315      %CoreL.word_xor_cancel(8n, x13, x8) : {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, x8), x8), Word.xor(8n, Word.xor(8n, x1, x8), x8), x2, x3, Word.xor(8n, Word.xor(8n, x4, x8), x8), x5, x6, Word.xor(8n, Word.xor(8n, x7, x8), x8), x8, x9, Word.xor(8n, Word.xor(8n, x10, x8), x8), x11, x12, _, x14, x15} : A.LcAriaSt}
6316      %CoreL.word_xor_cancel(8n, x10, x8) : {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, x8), x8), Word.xor(8n, Word.xor(8n, x1, x8), x8), x2, x3, Word.xor(8n, Word.xor(8n, x4, x8), x8), x5, x6, Word.xor(8n, Word.xor(8n, x7, x8), x8), x8, x9, _, x11, x12, x13, x14, x15} : A.LcAriaSt}
6317      %CoreL.word_xor_cancel(8n, x7, x8) : {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, x8), x8), Word.xor(8n, Word.xor(8n, x1, x8), x8), x2, x3, Word.xor(8n, Word.xor(8n, x4, x8), x8), x5, x6, _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6318      %CoreL.word_xor_cancel(8n, x4, x8) : {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, x8), x8), Word.xor(8n, Word.xor(8n, x1, x8), x8), x2, x3, _, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6319      %CoreL.word_xor_cancel(8n, x1, x8) : {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, x8), x8), _, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6320      %CoreL.word_xor_cancel(8n, x0, x8) : {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}
6321      {==}