NatOrder.rls.c1b.k: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/nat_order.bend as NatOrder
Lines 311-325 of bend-kit-collections@0.1.4.1/nat_order.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&start_line=311&end_line=325

import Base

def rls.c1b.k(+l: Nat, +a: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, b), Nat.add(l, a)), h3: LE(1n+Nat.mul(3n, l), Nat.add(a, b)), hs: LE(1n+a, Nat.mul(2n, b))) -> Empty:
  +v = {VS{l, a, b, 0n} : Vs}
  +f_ng = cvle(1n+Nat.mul(3n, b), Nat.add(l, a), L{1n, 0n, 0n, 3n, 0n}, L{0n, 1n, 1n, 0n, 0n}, v,
    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))),
    cv_add(l, a, L{0n, 1n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_1(l, a, b, 0n), cv_2(l, a, b, 0n)), ng)
  +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,
    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))),
    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)
  +f_hs = cvle(1n+a, Nat.mul(2n, b), L{1n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 2n, 0n}, v,
    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)),
    cv_mul(2n, b, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, a, b, 0n)), hs)
  contra(L{8n, 3n, 4n, 9n, 0n}, L{0n, 3n, 4n, 9n, 0n}, v,
    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),
    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,
    scale(4n, L{1n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 2n, 0n}, v, f_hs))), {==})

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=LE
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=Lin
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=Vs
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=comb
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=contra
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_1
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_2
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_3
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_add
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_c
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_mul
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cvle
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=scale