NatOrder.rhd.c2b.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 639-661 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=639&end_line=661

import Base

def rhd.c2b.k(+l: Nat, +x: Nat, +y: Nat, +b: Nat, ng: LE(1n+Nat.mul(3n, l), x), h1: LE(Nat.add(y, x), Nat.mul(3n, b)), h4: LE(Nat.add(b, Nat.add(y, x)), Nat.add(3n, Nat.mul(3n, l))), pl: LE(1n, l), py: LE(1n, y)) -> Empty:
  +v = {VS{l, x, y, b} : Vs}
  +f_ng = cvle(1n+Nat.mul(3n, l), x, L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 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, x, y, b))),
    cv_2(l, x, y, b), ng)
  +f_h1 = cvle(Nat.add(y, x), Nat.mul(3n, b), L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 0n, 0n, 3n}, v,
    cv_add(y, x, L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_3(l, x, y, b), cv_2(l, x, y, b)),
    cv_mul(3n, b, L{0n, 0n, 0n, 0n, 1n}, v, cv_4(l, x, y, b)), h1)
  +f_h4 = cvle(Nat.add(b, Nat.add(y, x)), Nat.add(3n, Nat.mul(3n, l)), L{0n, 0n, 1n, 1n, 1n}, L{3n, 3n, 0n, 0n, 0n}, v,
    cv_add(b, Nat.add(y, x), L{0n, 0n, 0n, 0n, 1n}, L{0n, 0n, 1n, 1n, 0n}, v, cv_4(l, x, y, b), cv_add(y, x, L{0n, 0n, 0n, 1n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_3(l, x, y, b), cv_2(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_pl = cvle(1n, l, L{1n, 0n, 0n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v,
    cv_c(1n, v),
    cv_1(l, x, y, b), pl)
  +f_py = cvle(1n, y, L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v,
    cv_c(1n, v),
    cv_3(l, x, y, b), py)
  contra(L{10n, 12n, 4n, 4n, 3n}, L{9n, 11n, 4n, 4n, 3n}, v,
    comb(L{4n, 12n, 0n, 0n, 0n}, L{0n, 0n, 4n, 0n, 0n}, L{6n, 0n, 4n, 4n, 3n}, L{9n, 11n, 0n, 4n, 3n}, v, scale(4n, L{1n, 3n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, f_ng),
    comb(L{0n, 0n, 1n, 1n, 0n}, L{0n, 0n, 0n, 0n, 3n}, L{6n, 0n, 3n, 3n, 3n}, L{9n, 11n, 0n, 4n, 0n}, v, f_h1,
    comb(L{0n, 0n, 3n, 3n, 3n}, L{9n, 9n, 0n, 0n, 0n}, L{6n, 0n, 0n, 0n, 0n}, L{0n, 2n, 0n, 4n, 0n}, v, scale(3n, L{0n, 0n, 1n, 1n, 1n}, L{3n, 3n, 0n, 0n, 0n}, v, f_h4),
    comb(L{2n, 0n, 0n, 0n, 0n}, L{0n, 2n, 0n, 0n, 0n}, L{4n, 0n, 0n, 0n, 0n}, L{0n, 0n, 0n, 4n, 0n}, v, scale(2n, L{1n, 0n, 0n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v, f_pl),
    scale(4n, L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v, f_py))))), {==})

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