NatOrder.nearlo.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 770-780 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=770&end_line=780

import Base

def nearlo.c0a.k(+a: Nat, +a2: Nat, +c: Nat, ng: LE(1n+1n+Nat.add(a2, c), Nat.add(a, c)), n1: LE(a, 1n+a2)) -> Empty:
  +v = {VS{a, a2, c, 0n} : Vs}
  +f_ng = cvle(1n+1n+Nat.add(a2, c), Nat.add(a, c), L{2n, 0n, 1n, 1n, 0n}, L{0n, 1n, 0n, 1n, 0n}, v,
    cv_add(1n, 1n+Nat.add(a2, c), L{1n, 0n, 0n, 0n, 0n}, L{1n, 0n, 1n, 1n, 0n}, v, cv_c(1n, v), cv_add(1n, Nat.add(a2, c), L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 1n, 1n, 0n}, v, cv_c(1n, v), cv_add(a2, c, L{0n, 0n, 1n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v, cv_2(a, a2, c, 0n), cv_3(a, a2, c, 0n)))),
    cv_add(a, c, L{0n, 1n, 0n, 0n, 0n}, L{0n, 0n, 0n, 1n, 0n}, v, cv_1(a, a2, c, 0n), cv_3(a, a2, c, 0n)), ng)
  +f_n1 = cvle(a, 1n+a2, L{0n, 1n, 0n, 0n, 0n}, L{1n, 0n, 1n, 0n, 0n}, v,
    cv_1(a, a2, c, 0n),
    cv_add(1n, a2, L{1n, 0n, 0n, 0n, 0n}, L{0n, 0n, 1n, 0n, 0n}, v, cv_c(1n, v), cv_2(a, a2, c, 0n)), n1)
  contra(L{2n, 1n, 1n, 1n, 0n}, L{1n, 1n, 1n, 1n, 0n}, v,
    comb(L{2n, 0n, 1n, 1n, 0n}, L{0n, 1n, 0n, 1n, 0n}, L{0n, 1n, 0n, 0n, 0n}, L{1n, 0n, 1n, 0n, 0n}, v, f_ng,
    f_n1), {==})

Uses (14):
  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=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=cvle