def aria_e14

bend-osdev-aria@0.1.0.0 · PROOF.bend:6375

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

6375def aria_e14(s: A.LcAriaSt) -> {s == A.aria.e14(A.aria.e14(s)) : A.LcAriaSt}:
6376  match s:
6377    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6378      %CoreL.word_xor_cancel(8n, x13, x4) : {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, x4), x4), x2, Word.xor(8n, Word.xor(8n, x3, x4), x4), x4, Word.xor(8n, Word.xor(8n, x5, x4), x4), x6, x7, x8, Word.xor(8n, Word.xor(8n, x9, x4), x4), Word.xor(8n, Word.xor(8n, x10, x4), x4), x11, Word.xor(8n, Word.xor(8n, x12, x4), x4), _, x14, x15} : A.LcAriaSt}
6379      %CoreL.word_xor_cancel(8n, x12, x4) : {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, x4), x4), x2, Word.xor(8n, Word.xor(8n, x3, x4), x4), x4, Word.xor(8n, Word.xor(8n, x5, x4), x4), x6, x7, x8, Word.xor(8n, Word.xor(8n, x9, x4), x4), Word.xor(8n, Word.xor(8n, x10, x4), x4), x11, _, x13, x14, x15} : A.LcAriaSt}
6380      %CoreL.word_xor_cancel(8n, x10, x4) : {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, x4), x4), x2, Word.xor(8n, Word.xor(8n, x3, x4), x4), x4, Word.xor(8n, Word.xor(8n, x5, x4), x4), x6, x7, x8, Word.xor(8n, Word.xor(8n, x9, x4), x4), _, x11, x12, x13, x14, x15} : A.LcAriaSt}
6381      %CoreL.word_xor_cancel(8n, x9, x4) : {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, x4), x4), x2, Word.xor(8n, Word.xor(8n, x3, x4), x4), x4, Word.xor(8n, Word.xor(8n, x5, x4), x4), x6, x7, x8, _, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6382      %CoreL.word_xor_cancel(8n, x5, x4) : {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, x4), x4), x2, Word.xor(8n, Word.xor(8n, x3, x4), x4), x4, _, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6383      %CoreL.word_xor_cancel(8n, x3, x4) : {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, x4), x4), x2, _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6384      %CoreL.word_xor_cancel(8n, x1, x4) : {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}
6385      {==}