NatOrder.neargt.c0b.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 888-894 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=888&end_line=894

import Base

def neargt.c0b.k(+a: Nat, ng: LE(1n+1n+Nat.add(a, 1n), a)) -> Empty:
  +v = {VS{a, 0n, 0n, 0n} : Vs}
  +f_ng = cvle(1n+1n+Nat.add(a, 1n), a, L{3n, 1n, 0n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v,
    cv_add(1n, 1n+Nat.add(a, 1n), L{1n, 0n, 0n, 0n, 0n}, L{2n, 1n, 0n, 0n, 0n}, v, cv_c(1n, v), cv_add(1n, Nat.add(a, 1n), L{1n, 0n, 0n, 0n, 0n}, L{1n, 1n, 0n, 0n, 0n}, v, cv_c(1n, v), cv_add(a, 1n, L{0n, 1n, 0n, 0n, 0n}, L{1n, 0n, 0n, 0n, 0n}, v, cv_1(a, 0n, 0n, 0n), cv_c(1n, v)))),
    cv_1(a, 0n, 0n, 0n), ng)
  contra(L{3n, 1n, 0n, 0n, 0n}, L{0n, 1n, 0n, 0n, 0n}, v,
    f_ng, {==})

Uses (11):
  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=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_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