PROOF.h.gp_other: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3195-3225 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=3195&end_line=3225

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.gp_other(
  ~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>, +h2: U32, +k2: K, +k: K, +v: V,
  +wf: {h.WF(~K, ~V, ~hash, ~eq, n, m) == True{} : Bool}, +nk: {eq(k, k2) == False{} : Bool}
) -> {h.G(~K, ~V, ~eq, n, mask, h.P(~K, ~V, ~eq, n, mask, m, h2, k2, v), hash(k), k)
      == h.G(~K, ~V, ~eq, n, mask, m, hash(k), k) : Maybe<&2, V>}:
  match n:
    case 0n:
      match m:
        case M.HNil{}:
          h.eg_put_other(~K, ~V, ~eq, ~sound, Nil{}, k2, k, v, nk)
        case M.HLeaf{o, es}:
          h.eg_put_other(~K, ~V, ~eq, ~sound, es, k2, k, v, nk)
        case M.HBranch{lo, hi}:
          {==}
    case 1n+(+p):
      match m:
        case M.HNil{}:
          h.bool_none(V, U32.is_eq(h2, hash(k)), h.EG(~K, ~V, ~eq, [M.Entry{k2, v}], k),
            h.eg_put_other(~K, ~V, ~eq, ~sound, Nil{}, k2, k, v, nk))
        case M.HLeaf{+o, +es}:
          h.gp_other.lf(~K, ~V, ~hash, ~eq, ~sound, p, mask, o, es, h2, k2, k, v, nk, U32.is_eq(o, h2),
            h.split_other(~K, ~V, ~hash, ~eq, ~sound, 1n+p, mask, o, es, h2, k2, k, v,
              MBool.eq_true_of_and_left(Laws.hmap_hashed(~K, ~V, ~hash, es, o), Laws.hmap_distinct(~K, ~V, ~eq, es), wf), nk))
        case M.HBranch{+lo, +hi}:
          h.gp_other.br(~K, ~V, ~eq, p, mask, lo, hi, h2, k2, hash(k), k, v, U32.is_eq((h2 .&. mask : U32), 0),
            h.gp_other(~K, ~V, ~hash, ~eq, ~sound, p, (mask << 1n : U32), lo, h2, k2, k, v,
              MBool.eq_true_of_and_left(h.WF(~K, ~V, ~hash, ~eq, p, lo), h.WF(~K, ~V, ~hash, ~eq, p, hi), wf), nk),
            h.gp_other(~K, ~V, ~hash, ~eq, ~sound, p, (mask << 1n : U32), hi, h2, k2, k, v,
              MBool.eq_true_of_and_right(h.WF(~K, ~V, ~hash, ~eq, p, lo), h.WF(~K, ~V, ~hash, ~eq, p, hi), wf), nk))

Uses (23):
  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.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.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.P
  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.bool_none
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.eg_put_other
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gp_other.br
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gp_other.lf
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.split_other
  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-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