PROOF.h.sz_del_miss.lf: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3626-3640 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=3626&end_line=3640

import Base
import bend-kit-collections@0.1.4.1/hmap.bend as M

def h.sz_del_miss.lf(
  ~K: Data, ~V: Data, ~eq: K -> K -> Bool, +o: U32,
  +es: List<&2, M.Entry<K, V>>, +hk: U32, +k: K,
  b: Bool, eb: {b == U32.is_eq(o, hk) : Bool},
  miss: {M.HMap.bool(Maybe<&2, V>, U32.is_eq(o, hk), u => h.EG(~K, ~V, ~eq, es, k), u => None{}) == None{} : Maybe<&2, V>}
) -> {h.Sz(K, V, h.dl(~K, ~V, ~eq, b, o, es, k)) == h.len(K, V, es) : Nat}:
  match b:
    case True{}:
      %h.size_leaf(K, V, o, M.HMap.entries.del(~K, ~V, ~eq, es, k)) : {_ == h.len(K, V, es) : Nat}
      Equal.cong(List<&2, M.Entry<K, V>>, Nat, xs => h.len(K, V, xs), M.HMap.entries.del(~K, ~V, ~eq, es, k), es,
        h.edel_miss(~K, ~V, ~eq, es, k,
          rw(Bool, z => {M.HMap.bool(Maybe<&2, V>, z, u => h.EG(~K, ~V, ~eq, es, k), u => None{}) == None{} : Maybe<&2, V>},
            True{}, U32.is_eq(o, hk), eb, miss)))
    case False{}:
      {==}

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.EG
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.Sz
  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.edel_miss
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.len
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.size_leaf
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=rw
  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.bool
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap.entries.del