def aria_e20

bend-osdev-aria@0.1.0.0 · PROOF.bend:6439

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

6439def aria_e20(s: A.LcAriaSt) -> {s == A.aria.e20(A.aria.e20(s)) : A.LcAriaSt}:
6440  match s:
6441    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6442      %CoreL.word_xor_cancel(8n, x14, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, Word.xor(8n, Word.xor(8n, x3, x0), x0), Word.xor(8n, Word.xor(8n, x4, x0), x0), x5, Word.xor(8n, Word.xor(8n, x6, x0), x0), x7, Word.xor(8n, Word.xor(8n, x8, x0), x0), Word.xor(8n, Word.xor(8n, x9, x0), x0), x10, x11, x12, Word.xor(8n, Word.xor(8n, x13, x0), x0), _, x15} : A.LcAriaSt}
6443      %CoreL.word_xor_cancel(8n, x13, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, Word.xor(8n, Word.xor(8n, x3, x0), x0), Word.xor(8n, Word.xor(8n, x4, x0), x0), x5, Word.xor(8n, Word.xor(8n, x6, x0), x0), x7, Word.xor(8n, Word.xor(8n, x8, x0), x0), Word.xor(8n, Word.xor(8n, x9, x0), x0), x10, x11, x12, _, x14, x15} : A.LcAriaSt}
6444      %CoreL.word_xor_cancel(8n, x9, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, Word.xor(8n, Word.xor(8n, x3, x0), x0), Word.xor(8n, Word.xor(8n, x4, x0), x0), x5, Word.xor(8n, Word.xor(8n, x6, x0), x0), x7, Word.xor(8n, Word.xor(8n, x8, x0), x0), _, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6445      %CoreL.word_xor_cancel(8n, x8, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, Word.xor(8n, Word.xor(8n, x3, x0), x0), Word.xor(8n, Word.xor(8n, x4, x0), x0), x5, Word.xor(8n, Word.xor(8n, x6, x0), x0), x7, _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6446      %CoreL.word_xor_cancel(8n, x6, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, Word.xor(8n, Word.xor(8n, x3, x0), x0), Word.xor(8n, Word.xor(8n, x4, x0), x0), x5, _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6447      %CoreL.word_xor_cancel(8n, x4, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, Word.xor(8n, Word.xor(8n, x3, x0), x0), _, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6448      %CoreL.word_xor_cancel(8n, x3, x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6449      {==}