def rld.c0b.k

bend-kit-collections@0.1.4.1 · nat_order.bend:428

import Base

428def rld.c0b.k(+l: Nat, +x: Nat, +y: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, Nat.add(y, b)), Nat.add(l, x)), h1: LE(Nat.add(x, y), Nat.mul(3n, b)), h3: LE(1n+Nat.mul(3n, l), Nat.add(Nat.add(x, y), b)), h5: LE(x, Nat.mul(3n, y))) -> Empty:
429  +v = {VS{l, x, y, b} : Vs}
430  +f_ng = cvle(1n+Nat.mul(3n, Nat.add(y, b)), Nat.add(l, x), L{1n, 0n, 0n, 3n, 3n}, L{0n, 1n, 1n, 0n, 0n}, v,
431    cv_add(1n, Nat.mul(3n, Nat.add(y, b)), L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 0n, 3n, 3n}, v, cv_c(1n, v), cv_mul(3n, Nat.add(y, b), L{0n, 0n, 0n, 1n, 1n}, v, cv_add(y, b, L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v, cv_3(l, x, y, b), cv_4(l, x, y, b)))),
432    cv_add(l, x, L{0n, 1n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_1(l, x, y, b), cv_2(l, x, y, b)), ng)
433  +f_h1 = cvle(Nat.add(x, y), Nat.mul(3n, b), L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 0n, 0n, 3n}, v,
434    cv_add(x, y, L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v, cv_2(l, x, y, b), cv_3(l, x, y, b)),
435    cv_mul(3n, b, L{0n, 0n, 0n, 0n, 1n}, v, cv_4(l, x, y, b)), h1)
436  +f_h3 = cvle(1n+Nat.mul(3n, l), Nat.add(Nat.add(x, y), b), L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 1n}, v,
437    cv_add(1n, Nat.mul(3n, l), L{1n, 0n, 0n, 0n, 0n}, L{0n, 3n, 0n, 0n, 0n}, v, cv_c(1n, v), cv_mul(3n, l, L{0n, 1n, 0n, 0n, 0n}, v, cv_1(l, x, y, b))),
438    cv_add(Nat.add(x, y), b, L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v, cv_add(x, y, L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v, cv_2(l, x, y, b), cv_3(l, x, y, b)), cv_4(l, x, y, b)), h3)
439  +f_h5 = cvle(x, Nat.mul(3n, y), L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v,
440    cv_2(l, x, y, b),
441    cv_mul(3n, y, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, x, y, b)), h5)
442  contra(L{3n, 3n, 3n, 7n, 6n}, L{0n, 2n, 3n, 7n, 4n}, v,
443    comb(L{2n, 0n, 0n, 6n, 6n}, L{0n, 2n, 2n, 0n, 0n}, L{1n, 3n, 3n, 1n, 0n}, L{0n, 0n, 1n, 7n, 4n}, v, scale(2n, L{1n, 0n, 0n, 3n, 3n}, L{0n, 1n, 1n, 0n, 0n}, v, f_ng),
444    comb(L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 0n, 0n, 3n}, L{1n, 3n, 2n, 0n, 0n}, L{0n, 0n, 1n, 7n, 1n}, v, f_h1,
445    comb(L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 1n}, L{0n, 0n, 2n, 0n, 0n}, L{0n, 0n, 0n, 6n, 0n}, v, f_h3,
446    scale(2n, L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v, f_h5)))), {==})