PROOF.h.gd_other.lf: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3294-3309 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=3294&end_line=3309

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

def h.gd_other.lf(
  ~K: Data, ~V: Data, ~eq: K -> K -> Bool,
  ~sound: @x: K -> @y: K -> {eq(x, y) == True{} : Bool} -> {x == y : K},
  +p: Nat, +mask: U32, +o: U32, +es: List<&2, M.Entry<K, V>>, +k2: K, +hk: U32, +k: K,
  +nk: {eq(k, k2) == False{} : Bool}, b: Bool
) -> {h.G(~K, ~V, ~eq, 1n+p, mask, h.dl(~K, ~V, ~eq, b, o, es, k2), hk, k)
      == h.G(~K, ~V, ~eq, 1n+p, mask, M.HLeaf{o, es}, hk, k) : Maybe<&2, V>}:
  match b:
    case True{}:
      %h.get_leaf(~K, ~V, ~eq, 1n+p, mask, o, M.HMap.entries.del(~K, ~V, ~eq, es, k2), hk, k)
        : {_ == h.G(~K, ~V, ~eq, 1n+p, mask, M.HLeaf{o, es}, hk, k) : Maybe<&2, V>}
      h.bool_l(Maybe<&2, V>, U32.is_eq(o, hk),
        h.EG(~K, ~V, ~eq, M.HMap.entries.del(~K, ~V, ~eq, es, k2), k), h.EG(~K, ~V, ~eq, es, k), None{},
        h.eg_del_other(~K, ~V, ~eq, ~sound, es, k2, k, nk))
    case False{}:
      {==}

Uses (15):
  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=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.G
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.bool_l
  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.eg_del_other
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.get_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
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap.entries.del