NatOrder.rld.c0a.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 410-424 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=410&end_line=424

import Base

def rld.c0a.k(+l: Nat, +x: Nat, +y: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, Nat.add(l, x)), Nat.add(y, b)), h4: LE(Nat.add(Nat.add(x, y), b), Nat.add(3n, Nat.mul(3n, l))), px: LE(1n, x)) -> Empty:
  +v = {VS{l, x, y, b} : Vs}
  +f_ng = cvle(1n+Nat.mul(3n, Nat.add(l, x)), Nat.add(y, b), L{1n, 3n, 3n, 0n, 0n}, L{0n, 0n, 0n, 1n, 1n}, v,
    cv_add(1n, Nat.mul(3n, Nat.add(l, x)), L{1n, 0n, 0n, 0n, 0n}, L{0n, 3n, 3n, 0n, 0n}, v, cv_c(1n, v), cv_mul(3n, Nat.add(l, x), L{0n, 1n, 1n, 0n, 0n}, v, cv_add(l, x, L{0n, 1n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_1(l, x, y, b), cv_2(l, x, y, b)))),
    cv_add(y, b, L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v, cv_3(l, x, y, b), cv_4(l, x, y, b)), ng)
  +f_h4 = cvle(Nat.add(Nat.add(x, y), b), Nat.add(3n, Nat.mul(3n, l)), L{0n, 0n, 1n, 1n, 1n}, L{3n, 3n, 0n, 0n, 0n}, v,
    cv_add(Nat.add(x, y), b, L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 0n, 0n, 1n}, v, 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)), cv_4(l, x, y, b)),
    cv_add(3n, Nat.mul(3n, l), L{3n, 0n, 0n, 0n, 0n}, L{0n, 3n, 0n, 0n, 0n}, v, cv_c(3n, v), cv_mul(3n, l, L{0n, 1n, 0n, 0n, 0n}, v, cv_1(l, x, y, b))), h4)
  +f_px = cvle(1n, x, L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v,
    cv_c(1n, v),
    cv_2(l, x, y, b), px)
  contra(L{4n, 3n, 4n, 1n, 1n}, L{3n, 3n, 3n, 1n, 1n}, v,
    comb(L{1n, 3n, 3n, 0n, 0n}, L{0n, 0n, 0n, 1n, 1n}, L{3n, 0n, 1n, 1n, 1n}, L{3n, 3n, 3n, 0n, 0n}, v, f_ng,
    comb(L{0n, 0n, 1n, 1n, 1n}, L{3n, 3n, 0n, 0n, 0n}, L{3n, 0n, 0n, 0n, 0n}, L{0n, 0n, 3n, 0n, 0n}, v, f_h4,
    scale(3n, L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, f_px))), {==})

Uses (18):
  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_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