def rhs.c0a.k

bend-kit-collections@0.1.4.1 · nat_order.bend:332

import Base

332def rhs.c0a.k(+l: Nat, +a: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, b), Nat.add(a, l)), h3: LE(1n+Nat.mul(3n, l), Nat.add(b, a)), hs: LE(1n+a, Nat.mul(2n, b))) -> Empty:
333  +v = {VS{l, a, b, 0n} : Vs}
334  +f_ng = cvle(1n+Nat.mul(3n, b), Nat.add(a, l), L{1n, 0n, 0n, 3n, 0n}, L{0n, 1n, 1n, 0n, 0n}, v,
335    cv_add(1n, Nat.mul(3n, b), L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v, cv_c(1n, v), cv_mul(3n, b, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, a, b, 0n))),
336    cv_add(a, l, L{0n, 0n, 1n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v, cv_2(l, a, b, 0n), cv_1(l, a, b, 0n)), ng)
337  +f_h3 = cvle(1n+Nat.mul(3n, l), Nat.add(b, a), L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 0n}, v,
338    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, a, b, 0n))),
339    cv_add(b, a, L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_3(l, a, b, 0n), cv_2(l, a, b, 0n)), h3)
340  +f_hs = cvle(1n+a, Nat.mul(2n, b), L{1n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 2n, 0n}, v,
341    cv_add(1n, a, L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_c(1n, v), cv_2(l, a, b, 0n)),
342    cv_mul(2n, b, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, a, b, 0n)), hs)
343  contra(L{8n, 3n, 4n, 9n, 0n}, L{0n, 3n, 4n, 9n, 0n}, v,
344    comb(L{3n, 0n, 0n, 9n, 0n}, L{0n, 3n, 3n, 0n, 0n}, L{5n, 3n, 4n, 0n, 0n}, L{0n, 0n, 1n, 9n, 0n}, v, scale(3n, L{1n, 0n, 0n, 3n, 0n}, L{0n, 1n, 1n, 0n, 0n}, v, f_ng),
345    comb(L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 0n}, L{4n, 0n, 4n, 0n, 0n}, L{0n, 0n, 0n, 8n, 0n}, v, f_h3,
346    scale(4n, L{1n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 2n, 0n}, v, f_hs))), {==})