PROOF.bn.b: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 272-279 of bend-kit-collections@0.1.4.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&start_line=272&end_line=279

import Base
import bend-kit-collections@0.1.4.1/LAWS.bend as Laws
import bend-kit-collections@0.1.4.1/omap.bend as O

def bn.b(
  ~K: Data, ~V: Data, ~cmp: K -> K -> Cmp, +lb: Maybe<&2, K>, +ub: Maybe<&2, K>,
  +k: K, -v: V, +lo: O.OMap<K, V>, +hi: O.OMap<K, V>,
  e: {Laws.bounded(~K, ~V, ~cmp, O.OBin{0, k, v, lo, hi}, lb, ub) == True{} : Bool}
) -> {Laws.below(~K, ~cmp, ub, k) == True{} : Bool}:
  c4.b(Laws.above(~K, ~cmp, lb, k), Laws.below(~K, ~cmp, ub, k),
    Laws.bounded(~K, ~V, ~cmp, lo, lb, Some{k}),
    Laws.bounded(~K, ~V, ~cmp, hi, Some{k}, ub), e)

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/LAWS.bend&name=above
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/LAWS.bend&name=below
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/LAWS.bend&name=bounded
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=c4.b
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/omap.bend&name=OMap