def aria_sl12
bend-osdev-aria@0.1.0.0 · PROOF.bend:6177
import bend-osdev-aria@0.1.0.0/PROOF.bend as PROOF
import Base
import bend-osdev-aria@0.1.0.0/aria.bend as A
6177def aria_sl12(s: A.LcAriaSt) -> {s == A.aria.sl1(A.aria.sl2(s)) : A.LcAriaSt}:
6178 match s:
6179 case A.LcAriaSt{+x0, +x1, +x2, +x3, +x4, +x5, +x6, +x7, +x8, +x9, +x10, +x11, +x12, +x13, +x14, +x15}:
6180 %aria_sb13(x0) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{_, A.aria.sb2(A.aria.sb4(x1)), A.aria.sb3(A.aria.sb1(x2)), A.aria.sb4(A.aria.sb2(x3)), A.aria.sb1(A.aria.sb3(x4)), A.aria.sb2(A.aria.sb4(x5)), A.aria.sb3(A.aria.sb1(x6)), A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6181 %aria_sb24(x1) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, _, A.aria.sb3(A.aria.sb1(x2)), A.aria.sb4(A.aria.sb2(x3)), A.aria.sb1(A.aria.sb3(x4)), A.aria.sb2(A.aria.sb4(x5)), A.aria.sb3(A.aria.sb1(x6)), A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6182 %aria_sb31(x2) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, _, A.aria.sb4(A.aria.sb2(x3)), A.aria.sb1(A.aria.sb3(x4)), A.aria.sb2(A.aria.sb4(x5)), A.aria.sb3(A.aria.sb1(x6)), A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6183 %aria_sb42(x3) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, _, A.aria.sb1(A.aria.sb3(x4)), A.aria.sb2(A.aria.sb4(x5)), A.aria.sb3(A.aria.sb1(x6)), A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6184 %aria_sb13(x4) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, _, A.aria.sb2(A.aria.sb4(x5)), A.aria.sb3(A.aria.sb1(x6)), A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6185 %aria_sb24(x5) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, _, A.aria.sb3(A.aria.sb1(x6)), A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6186 %aria_sb31(x6) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, _, A.aria.sb4(A.aria.sb2(x7)), A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6187 %aria_sb42(x7) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, _, A.aria.sb1(A.aria.sb3(x8)), A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6188 %aria_sb13(x8) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, _, A.aria.sb2(A.aria.sb4(x9)), A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6189 %aria_sb24(x9) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, _, A.aria.sb3(A.aria.sb1(x10)), A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6190 %aria_sb31(x10) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, _, A.aria.sb4(A.aria.sb2(x11)), A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6191 %aria_sb42(x11) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, _, A.aria.sb1(A.aria.sb3(x12)), A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6192 %aria_sb13(x12) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, _, A.aria.sb2(A.aria.sb4(x13)), A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6193 %aria_sb24(x13) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, _, A.aria.sb3(A.aria.sb1(x14)), A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6194 %aria_sb31(x14) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, _, A.aria.sb4(A.aria.sb2(x15))} : A.LcAriaSt}
6195 %aria_sb42(x15) : {A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15} == A.LcAriaSt{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, _} : A.LcAriaSt}
6196 {==}