NatOrder.rld.c2a.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 504-518 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=504&end_line=518

import Base

def 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:
  +v = {VS{l, x, y, b} : Vs}
  +f_ng = cvle(1n+Nat.mul(3n, y), b, L{1n, 0n, 0n, 3n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v,
    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))),
    cv_4(l, x, y, b), ng)
  +f_hd = cvle(Nat.mul(2n, b), Nat.add(x, y), L{0n, 0n, 0n, 0n, 2n}, L{0n, 0n, 1n, 1n, 0n}, v,
    cv_mul(2n, b, L{0n, 0n, 0n, 0n, 1n}, v, cv_4(l, x, y, b)),
    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)
  +f_h5 = cvle(x, Nat.mul(3n, y), L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 3n, 0n}, v,
    cv_2(l, x, y, b),
    cv_mul(3n, y, L{0n, 0n, 0n, 1n, 0n}, v, cv_3(l, x, y, b)), h5)
  contra(L{2n, 0n, 1n, 6n, 2n}, L{0n, 0n, 1n, 4n, 2n}, v,
    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),
    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,
    f_h5)), {==})

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_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_4
  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