PROOF.h.gd_same: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3263-3292 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=3263&end_line=3292

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.gd_same(
  ~K: Data, ~V: Data, ~hash: K -> U32, ~eq: K -> K -> Bool,
  ~sound: @x: K -> @y: K -> {eq(x, y) == True{} : Bool} -> {x == y : K},
  n: Nat, +mask: U32, m: M.HMap<K, V>, +hk: U32, +k: K,
  +wf: {h.WF(~K, ~V, ~hash, ~eq, n, m) == True{} : Bool}
) -> {h.G(~K, ~V, ~eq, n, mask, h.D(~K, ~V, ~eq, n, mask, m, hk, k), hk, k) == None{} : Maybe<&2, V>}:
  match n:
    case 0n:
      match m:
        case M.HNil{}:
          {==}
        case M.HLeaf{+o, +es}:
          %h.get_leaf(~K, ~V, ~eq, 0n, mask, o, M.HMap.entries.del(~K, ~V, ~eq, es, k), hk, k) : {_ == None{} : Maybe<&2, V>}
          h.eg_del_same(~K, ~V, ~eq, ~sound, es, k, wf)
        case M.HBranch{lo, hi}:
          {==}
    case 1n+(+p):
      match m:
        case M.HNil{}:
          {==}
        case M.HLeaf{+o, +es}:
          h.gd_same.lf(~K, ~V, ~eq, p, mask, o, es, hk, k, U32.is_eq(o, hk), {==},
            h.eg_del_same(~K, ~V, ~eq, ~sound, es, k,
              MBool.eq_true_of_and_right(Laws.hmap_hashed(~K, ~V, ~hash, es, o), Laws.hmap_distinct(~K, ~V, ~eq, es), wf)))
        case M.HBranch{+lo, +hi}:
          h.gd_same.br(~K, ~V, ~eq, p, mask, lo, hi, hk, k, U32.is_eq((hk .&. mask : U32), 0), {==},
            h.gd_same(~K, ~V, ~hash, ~eq, ~sound, p, (mask << 1n : U32), lo, hk, k,
              MBool.eq_true_of_and_left(h.WF(~K, ~V, ~hash, ~eq, p, lo), h.WF(~K, ~V, ~hash, ~eq, p, hi), wf)),
            h.gd_same(~K, ~V, ~hash, ~eq, ~sound, p, (mask << 1n : U32), hi, hk, k,
              MBool.eq_true_of_and_right(h.WF(~K, ~V, ~hash, ~eq, p, lo), h.WF(~K, ~V, ~hash, ~eq, p, hi), wf)))

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shln
  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.D
  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.WF
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.eg_del_same
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gd_same.br
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gd_same.lf
  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=HMap
  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=eq_true_of_and_left
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=eq_true_of_and_right