def rld.c2a.k

bend-kit-collections@0.1.4.1 · nat_order.bend:504

import Base

504def rld.c2a.k(+l: Nat, +x: Nat, +y: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, y), b), hd: LE(Nat.mul(2n, b), Nat.add(x, y)), h5: LE(x, Nat.mul(3n, y))) -> Empty:
505  +v = {VS{l, x, y, b} : Vs}
506  +f_ng = cvle(1n+Nat.mul(3n, y), b, L{1n, 0n, 0n, 3n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v,
507    cv_add(1n, Nat.mul(3n, y), L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v, cv_c(1n, v), cv_mul(3n, y, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, x, y, b))),
508    cv_4(l, x, y, b), ng)
509  +f_hd = cvle(Nat.mul(2n, b), Nat.add(x, y), L{0n, 0n, 0n, 0n, 2n}, L{0n, 0n, 1n, 1n, 0n}, v,
510    cv_mul(2n, b, L{0n, 0n, 0n, 0n, 1n}, v, cv_4(l, x, y, b)),
511    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)), hd)
512  +f_h5 = cvle(x, Nat.mul(3n, y), L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v,
513    cv_2(l, x, y, b),
514    cv_mul(3n, y, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, x, y, b)), h5)
515  contra(L{2n, 0n, 1n, 6n, 2n}, L{0n, 0n, 1n, 4n, 2n}, v,
516    comb(L{2n, 0n, 0n, 6n, 0n}, L{0n, 0n, 0n, 0n, 2n}, L{0n, 0n, 1n, 0n, 2n}, L{0n, 0n, 1n, 4n, 0n}, v, scale(2n, L{1n, 0n, 0n, 3n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v, f_ng),
517    comb(L{0n, 0n, 0n, 0n, 2n}, L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v, f_hd,
518    f_h5)), {==})