def aria_e5
bend-osdev-legacy-ciphers@0.1.0.0 · PROOF.bend:7996
import bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend as PROOF
import Base
import bend-osdev-legacy-ciphers@0.1.0.0/aria.bend as A
7996def aria_e5(s: A.LcAriaSt) -> {s == A.aria.e5(A.aria.e5(s)) : A.LcAriaSt}:
7997 match s:
7998 case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
7999 %word_xx(8n, x8, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), Word.xor(8n, Word.xor(8n, x5, x10), x10), Word.xor(8n, Word.xor(8n, x6, x10), x10), Word.xor(8n, Word.xor(8n, x7, x10), x10), _, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8000 %word_xx(8n, x7, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), Word.xor(8n, Word.xor(8n, x5, x10), x10), Word.xor(8n, Word.xor(8n, x6, x10), x10), _, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8001 %word_xx(8n, x6, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), Word.xor(8n, Word.xor(8n, x5, x10), x10), _, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8002 %word_xx(8n, x5, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), Word.xor(8n, Word.xor(8n, x4, x10), x10), _, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8003 %word_xx(8n, x4, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), Word.xor(8n, Word.xor(8n, x3, x10), x10), _, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8004 %word_xx(8n, x3, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), Word.xor(8n, Word.xor(8n, x2, x10), x10), _, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8005 %word_xx(8n, x2, x10) : {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, x10), x10), Word.xor(8n, Word.xor(8n, x1, x10), x10), _, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8006 %word_xx(8n, x1, x10) : {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, x10), x10), _, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} : A.LcAriaSt}
8007 %word_xx(8n, x0, x10) : {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}
8008 {==}