PROOF.h.gd_other: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3338-3365 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=3338&end_line=3365

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

def h.gd_other(
  ~K: Data, ~V: Data, ~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>, +h2: U32, +k2: K, +hk: U32, +k: K,
  +nk: {eq(k, k2) == False{} : Bool}
) -> {h.G(~K, ~V, ~eq, n, mask, h.D(~K, ~V, ~eq, n, mask, m, h2, k2), hk, k)
      == h.G(~K, ~V, ~eq, n, mask, m, hk, k) : 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, k2), hk, k)
            : {_ == h.EG(~K, ~V, ~eq, es, k) : Maybe<&2, V>}
          h.eg_del_other(~K, ~V, ~eq, ~sound, es, k2, k, nk)
        case M.HBranch{lo, hi}:
          {==}
    case 1n+(+p):
      match m:
        case M.HNil{}:
          {==}
        case M.HLeaf{+o, +es}:
          h.gd_other.lf(~K, ~V, ~eq, ~sound, p, mask, o, es, k2, hk, k, nk, U32.is_eq(o, h2))
        case M.HBranch{+lo, +hi}:
          h.gd_other.br(~K, ~V, ~eq, p, mask, lo, hi, h2, k2, hk, k, U32.is_eq((h2 .&. mask : U32), 0),
            h.gd_other(~K, ~V, ~eq, ~sound, p, (mask << 1n : U32), lo, h2, k2, hk, k, nk),
            h.gd_other(~K, ~V, ~eq, ~sound, p, (mask << 1n : U32), hi, h2, k2, hk, k, nk))

Uses (16):
  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/PROOF.bend&name=h.D
  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.eg_del_other
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gd_other.br
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gd_other.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