def aria_e1

bend-osdev-aria@0.1.0.0 · PROOF.bend:6232

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

6232def aria_e1(s: A.LcAriaSt) -> {s == A.aria.e1(A.aria.e1(s)) : A.LcAriaSt}:
6233  match s:
6234    case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6235      %CoreL.word_xor_cancel(8n, x11, x14) : {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, x14), x14), x1, x2, Word.xor(8n, Word.xor(8n, x3, x14), x14), Word.xor(8n, Word.xor(8n, x4, x14), x14), Word.xor(8n, Word.xor(8n, x5, x14), x14), x6, x7, x8, Word.xor(8n, Word.xor(8n, x9, x14), x14), x10, _, x12, x13, x14, x15} : A.LcAriaSt}
6236      %CoreL.word_xor_cancel(8n, x9, x14) : {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, x14), x14), x1, x2, Word.xor(8n, Word.xor(8n, x3, x14), x14), Word.xor(8n, Word.xor(8n, x4, x14), x14), Word.xor(8n, Word.xor(8n, x5, x14), x14), x6, x7, x8, _, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6237      %CoreL.word_xor_cancel(8n, x5, x14) : {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, x14), x14), x1, x2, Word.xor(8n, Word.xor(8n, x3, x14), x14), Word.xor(8n, Word.xor(8n, x4, x14), x14), _, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6238      %CoreL.word_xor_cancel(8n, x4, x14) : {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, x14), x14), x1, x2, Word.xor(8n, Word.xor(8n, x3, x14), x14), _, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6239      %CoreL.word_xor_cancel(8n, x3, x14) : {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, x14), x14), x1, x2, _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
6240      %CoreL.word_xor_cancel(8n, x0, x14) : {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}
6241      {==}