def rls.c0b.k

bend-kit-collections@0.1.4.1 · nat_order.bend:276

import Base

276def rls.c0b.k(+l: Nat, +a: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, a), l), h2: LE(b, Nat.mul(3n, a)), h3: LE(1n+Nat.mul(3n, l), Nat.add(a, b))) -> Empty:
277  +v = {VS{l, a, b, 0n} : Vs}
278  +f_ng = cvle(1n+Nat.mul(3n, a), l, L{1n, 0n, 3n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v,
279    cv_add(1n, Nat.mul(3n, a), L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 3n, 0n, 0n}, v, cv_c(1n, v), cv_mul(3n, a, L{0n, 0n, 1n, 0n, 0n}, v, cv_2(l, a, b, 0n))),
280    cv_1(l, a, b, 0n), ng)
281  +f_h2 = cvle(b, Nat.mul(3n, a), L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 3n, 0n, 0n}, v,
282    cv_3(l, a, b, 0n),
283    cv_mul(3n, a, L{0n, 0n, 1n, 0n, 0n}, v, cv_2(l, a, b, 0n)), h2)
284  +f_h3 = cvle(1n+Nat.mul(3n, l), Nat.add(a, b), L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 0n}, v,
285    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))),
286    cv_add(a, b, L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v, cv_2(l, a, b, 0n), cv_3(l, a, b, 0n)), h3)
287  contra(L{3n, 3n, 6n, 1n, 0n}, L{0n, 2n, 4n, 1n, 0n}, v,
288    comb(L{2n, 0n, 6n, 0n, 0n}, L{0n, 2n, 0n, 0n, 0n}, L{1n, 3n, 0n, 1n, 0n}, L{0n, 0n, 4n, 1n, 0n}, v, scale(2n, L{1n, 0n, 3n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v, f_ng),
289    comb(L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 3n, 0n, 0n}, L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 0n}, v, f_h2,
290    f_h3)), {==})