def aria_e11

bend-osdev-aria@0.1.0.0 · PROOF.bend:6343

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

6343def aria_e11(s: A.LcAriaSt) -> {s == A.aria.e11(A.aria.e11(s)) : A.LcAriaSt}:
6344  match s:
6345    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6346      %CoreL.word_xor_cancel(8n, x15, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, Word.xor(8n, Word.xor(8n, x1, x6), x6), x2, Word.xor(8n, Word.xor(8n, x3, x6), x6), x4, x5, x6, Word.xor(8n, Word.xor(8n, x7, x6), x6), Word.xor(8n, Word.xor(8n, x8, x6), x6), x9, x10, Word.xor(8n, Word.xor(8n, x11, x6), x6), x12, x13, Word.xor(8n, Word.xor(8n, x14, x6), x6), _} : A.LcAriaSt}
6347      %CoreL.word_xor_cancel(8n, x14, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, Word.xor(8n, Word.xor(8n, x1, x6), x6), x2, Word.xor(8n, Word.xor(8n, x3, x6), x6), x4, x5, x6, Word.xor(8n, Word.xor(8n, x7, x6), x6), Word.xor(8n, Word.xor(8n, x8, x6), x6), x9, x10, Word.xor(8n, Word.xor(8n, x11, x6), x6), x12, x13, _, x15} : A.LcAriaSt}
6348      %CoreL.word_xor_cancel(8n, x11, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, Word.xor(8n, Word.xor(8n, x1, x6), x6), x2, Word.xor(8n, Word.xor(8n, x3, x6), x6), x4, x5, x6, Word.xor(8n, Word.xor(8n, x7, x6), x6), Word.xor(8n, Word.xor(8n, x8, x6), x6), x9, x10, _, x12, x13, x14, x15} : A.LcAriaSt}
6349      %CoreL.word_xor_cancel(8n, x8, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, Word.xor(8n, Word.xor(8n, x1, x6), x6), x2, Word.xor(8n, Word.xor(8n, x3, x6), x6), x4, x5, x6, Word.xor(8n, Word.xor(8n, x7, x6), x6), _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6350      %CoreL.word_xor_cancel(8n, x7, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, Word.xor(8n, Word.xor(8n, x1, x6), x6), x2, Word.xor(8n, Word.xor(8n, x3, x6), x6), x4, x5, x6, _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6351      %CoreL.word_xor_cancel(8n, x3, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, Word.xor(8n, Word.xor(8n, x1, x6), x6), x2, _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6352      %CoreL.word_xor_cancel(8n, x1, x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, _, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6353      {==}