PROOF.h.split_other: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3138-3155 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=3138&end_line=3155

import Base
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.split_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, +o: U32, +es: List<&2, M.Entry<K, V>>, +h2: U32, +k2: K, +k: K, +v: V,
  +hs: {Laws.hmap_hashed(~K, ~V, ~hash, es, o) == True{} : Bool},
  +nk: {eq(k, k2) == False{} : Bool}
) -> {h.G(~K, ~V, ~eq, n, mask, h.S(~K, ~V, ~eq, n, mask, o, es, h2, k2, v), hash(k), k)
      == h.R(~K, ~V, ~hash, ~eq, o, es, k) : Maybe<&2, V>}:
  match n:
    case 0n:
      Equal.trans(Maybe<&2, V>, h.EG(~K, ~V, ~eq, M.HMap.entries.put(~K, ~V, ~eq, es, k2, v), k),
        h.EG(~K, ~V, ~eq, es, k), h.R(~K, ~V, ~hash, ~eq, o, es, k),
        h.eg_put_other(~K, ~V, ~eq, ~sound, es, k2, k, v, nk),
        h.r_eg(~K, ~V, ~hash, ~eq, ~sound, o, es, k, hs))
    case 1n+(+p):
      h.split_other.b(~K, ~V, ~hash, ~eq, ~sound, p, mask, o, es, h2, k2, k, v, hs, nk,
        U32.is_eq((o .&. mask : U32), (h2 .&. mask : U32)), U32.is_eq((o .&. mask : U32), 0), {==},
        h.split_other(~K, ~V, ~hash, ~eq, ~sound, p, (mask << 1n : U32), o, es, h2, k2, k, v, hs, nk))

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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_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.R
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.S
  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.r_eg
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.split_other.b
  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.entries.put