def aria_e2

bend-osdev-legacy-ciphers@0.1.0.0 · PROOF.bend:7960

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/aria.bend as A

7960def aria_e2(s: A.LcAriaSt) -> {s == A.aria.e2(A.aria.e2(s)) : A.LcAriaSt}:
7961  match s:
7962    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
7963      %word_xx(8n, x10, x13) : {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, x13), x13), x1, x2, Word.xor(8n, Word.xor(8n, x3, x13), x13), x4, x5, Word.xor(8n, Word.xor(8n, x6, x13), x13), Word.xor(8n, Word.xor(8n, x7, x13), x13), Word.xor(8n, Word.xor(8n, x8, x13), x13), x9, _, x11, x12, x13, x14, x15} : A.LcAriaSt}
7964      %word_xx(8n, x8, x13) : {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, x13), x13), x1, x2, Word.xor(8n, Word.xor(8n, x3, x13), x13), x4, x5, Word.xor(8n, Word.xor(8n, x6, x13), x13), Word.xor(8n, Word.xor(8n, x7, x13), x13), _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7965      %word_xx(8n, x7, x13) : {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, x13), x13), x1, x2, Word.xor(8n, Word.xor(8n, x3, x13), x13), x4, x5, Word.xor(8n, Word.xor(8n, x6, x13), x13), _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7966      %word_xx(8n, x6, x13) : {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, x13), x13), x1, x2, Word.xor(8n, Word.xor(8n, x3, x13), x13), x4, x5, _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7967      %word_xx(8n, x3, x13) : {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, x13), x13), x1, x2, _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7968      %word_xx(8n, x0, x13) : {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}
7969      {==}