PROOF.h.wf_del.lf: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3820-3831 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=3820&end_line=3831

import Base
import bend-mathlib@0.7.4.0/bool.bend as MBool
import bend-kit-collections@0.1.4.1/LAWS.bend as Laws
import bend-kit-collections@0.1.4.1/hmap.bend as M

def h.wf_del.lf(
  ~K: Data, ~V: Data, ~hash: K -> U32, ~eq: K -> K -> Bool, +p: Nat, +o: U32,
  +es: List<&2, M.Entry<K, V>>, +k: K,
  +hs: {Laws.hmap_hashed(~K, ~V, ~hash, es, o) == True{} : Bool},
  +ds: {Laws.hmap_distinct(~K, ~V, ~eq, es) == True{} : Bool}, b: Bool
) -> {h.WF(~K, ~V, ~hash, ~eq, 1n+p, h.dl(~K, ~V, ~eq, b, o, es, k)) == True{} : Bool}:
  match b:
    case True{}:
      h.wf_leaf(~K, ~V, ~hash, ~eq, 1n+p, o, M.HMap.entries.del(~K, ~V, ~eq, es, k),
        MBool.and_eq_true(Laws.hmap_hashed(~K, ~V, ~hash, M.HMap.entries.del(~K, ~V, ~eq, es, k), o), Laws.hmap_distinct(~K, ~V, ~eq, M.HMap.entries.del(~K, ~V, ~eq, es, k)), h.hashed_del(~K, ~V, ~hash, ~eq, es, o, k, hs), h.distinct_del(~K, ~V, ~eq, es, k, ds)))
    case False{}:
      MBool.and_eq_true(Laws.hmap_hashed(~K, ~V, ~hash, es, o), Laws.hmap_distinct(~K, ~V, ~eq, es), hs, ds)

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/LAWS.bend&name=hmap_distinct
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/LAWS.bend&name=hmap_hashed
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.WF
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.distinct_del
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.dl
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.hashed_del
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.wf_leaf
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=Entry
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap.entries.del
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=and_eq_true