def aria_e3

bend-osdev-legacy-ciphers@0.1.0.0 · PROOF.bend:7971

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

7971def aria_e3(s: A.LcAriaSt) -> {s == A.aria.e3(A.aria.e3(s)) : A.LcAriaSt}:
7972  match s:
7973    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
7974      %word_xx(8n, x11, x12) : {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, x12), x12), Word.xor(8n, Word.xor(8n, x2, x12), x12), x3, x4, x5, Word.xor(8n, Word.xor(8n, x6, x12), x12), Word.xor(8n, Word.xor(8n, x7, x12), x12), x8, Word.xor(8n, Word.xor(8n, x9, x12), x12), x10, _, x12, x13, x14, x15} : A.LcAriaSt}
7975      %word_xx(8n, x9, x12) : {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, x12), x12), Word.xor(8n, Word.xor(8n, x2, x12), x12), x3, x4, x5, Word.xor(8n, Word.xor(8n, x6, x12), x12), Word.xor(8n, Word.xor(8n, x7, x12), x12), x8, _, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7976      %word_xx(8n, x7, x12) : {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, x12), x12), Word.xor(8n, Word.xor(8n, x2, x12), x12), x3, x4, x5, Word.xor(8n, Word.xor(8n, x6, x12), x12), _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7977      %word_xx(8n, x6, x12) : {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, x12), x12), Word.xor(8n, Word.xor(8n, x2, x12), x12), x3, x4, x5, _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7978      %word_xx(8n, x2, x12) : {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, x12), x12), _, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
7979      %word_xx(8n, x1, x12) : {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}
7980      {==}