PROOF.glue.fin.bnd: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1136-1147 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=1136&end_line=1147

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

# Workaround for https://github.com/bendlang/bend/issues/1077: bind the tuple without +.
def glue.fin.bnd(
  ~K: Data, ~V: Data, ~cmp: K -> K -> Cmp, ~trans: Trans(~K, ~cmp),
  r: K & V & O.OMap<K, V>, +lo: O.OMap<K, V>, +lb: Maybe<&2, K>,
  +ub: Maybe<&2, K>, +key: K,
  eka: {Laws.above(~K, ~cmp, lb, key) == True{} : Bool},
  el: {Laws.bounded(~K, ~V, ~cmp, lo, lb, Some{key}) == True{} : Bool},
  pmr: {PM(~K, ~V, ~cmp, Some{key}, ub, r) == True{} : Bool}
) -> {Laws.bounded(~K, ~V, ~cmp, O.OMap.glue.fin(K, V, lo, r), lb, ub) == True{} : Bool}:
  (mk, rest) = r
  (mv, t) = rest
  glue.fin.bnd.go(~K, ~V, ~cmp, ~trans, mk, mv, t, lo, lb, ub, key, eka, el, pmr)

Uses (12):
  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=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  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=bounded
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=PM
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=Trans
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=glue.fin.bnd.go
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/omap.bend&name=OMap
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/omap.bend&name=OMap.glue.fin