PROOF.h.sz_put_new.lf: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3402-3417 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=3402&end_line=3417

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.sz_put_new.lf(
  ~K: Data, ~V: Data, ~hash: K -> U32, ~eq: K -> K -> Bool,
  ~sound: @x: K -> @y: K -> {eq(x, y) == True{} : Bool} -> {x == y : K},
  +p: 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},
  b: Bool, eb: {b == U32.is_eq(o, hash(k)) : Bool},
  miss: {h.R(~K, ~V, ~hash, ~eq, o, es, k) == None{} : Maybe<&2, V>}
) -> {h.Sz(K, V, h.pl(~K, ~V, ~eq, b, p, mask, o, es, hash(k), k, v)) == 1n+h.len(K, V, es) : Nat}:
  match b:
    case True{}:
      h.elen_put_new(~K, ~V, ~eq, es, k, v,
        rw(Bool, z => {M.HMap.bool(Maybe<&2, V>, z, u => h.EG(~K, ~V, ~eq, es, k), u => None{}) == None{} : Maybe<&2, V>},
          True{}, U32.is_eq(o, hash(k)), eb, miss))
    case False{}:
      h.split_size(~K, ~V, ~eq, 1n+p, mask, o, es, hash(k), k, v,
        h.eg_none_hashed(~K, ~V, ~hash, ~eq, ~sound, es, o, k, h.sb(False{}, U32.is_eq(o, hash(k)), eb), hs))

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=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.is_eq
  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.R
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.Sz
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.eg_none_hashed
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.elen_put_new
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.len
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.pl
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.sb
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.split_size
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=rw
  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.bool