def aria_e5

bend-osdev-aria@0.1.0.0 · PROOF.bend:6279

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

6279def aria_e5(s: A.LcAriaSt) -> {s == A.aria.e5(A.aria.e5(s)) : A.LcAriaSt}:
6280  match s:
6281    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6282      %CoreL.word_xor_cancel(8n, x8, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), Word.xor(8n, Word.xor(8n, x5, x10), x10), Word.xor(8n, Word.xor(8n, x6, x10), x10), Word.xor(8n, Word.xor(8n, x7, x10), x10), _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6283      %CoreL.word_xor_cancel(8n, x7, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), Word.xor(8n, Word.xor(8n, x5, x10), x10), Word.xor(8n, Word.xor(8n, x6, x10), x10), _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6284      %CoreL.word_xor_cancel(8n, x6, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), Word.xor(8n, Word.xor(8n, x5, x10), x10), _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6285      %CoreL.word_xor_cancel(8n, x5, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), _, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6286      %CoreL.word_xor_cancel(8n, x4, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), _, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6287      %CoreL.word_xor_cancel(8n, x3, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6288      %CoreL.word_xor_cancel(8n, x2, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), _, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6289      %CoreL.word_xor_cancel(8n, x1, x10) : {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, x10), x10), _, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6290      %CoreL.word_xor_cancel(8n, x0, x10) : {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}
6291      {==}