PROOF.h.split_wf: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3740-3753 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=3740&end_line=3753

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_wf(
  ~K: Data, ~V: Data, ~hash: K -> U32, ~eq: K -> K -> Bool, ~refl: @x: K -> {eq(x, x) == True{} : 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>>, +k: K, +v: V,
  +hs: {Laws.hmap_hashed(~K, ~V, ~hash, es, o) == True{} : Bool},
  +ds: {Laws.hmap_distinct(~K, ~V, ~eq, es) == True{} : Bool}
) -> {h.WF(~K, ~V, ~hash, ~eq, n, h.S(~K, ~V, ~eq, n, mask, o, es, hash(k), k, v)) == True{} : Bool}:
  match n:
    case 0n:
      h.distinct_put(~K, ~V, ~eq, ~refl, ~sound, es, k, v, ds)
    case 1n+(+p):
      h.split_wf.b(~K, ~V, ~hash, ~eq, p, mask, o, es, k, v, hs, ds,
        U32.is_eq((o .&. mask : U32), (hash(k) .&. mask : U32)), U32.is_eq((o .&. mask : U32), 0),
        h.split_wf(~K, ~V, ~hash, ~eq, ~refl, ~sound, p, (mask << 1n : U32), o, es, k, v, hs, ds))

Uses (14):
  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=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.S
  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.distinct_put
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.split_wf.b
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=Entry