PROOF.h.elen_put_hit.c: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 2209-2221 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=2209&end_line=2221

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

def h.elen_put_hit.c(
  ~K: Data, ~V: Data, ~eq: K -> K -> Bool, +key: K, +val: V,
  +rest: List<&2, M.Entry<K, V>>, +k: K, +v: V, -w: V, b: Bool,
  hit: {h.egc(~K, ~V, ~eq, b, val, rest, k) == Some{w} : Maybe<&2, V>},
  ih: {M.HMap.entries.get(~K, ~V, ~eq, rest, k) == Some{w} : Maybe<&2, V>}
    -> {h.len(K, V, M.HMap.entries.put(~K, ~V, ~eq, rest, k, v)) == h.len(K, V, rest) : Nat}
) -> {h.len(K, V, h.epc(~K, ~V, ~eq, b, key, val, rest, k, v)) == 1n+h.len(K, V, rest) : Nat}:
  match b:
    case True{}:
      {==}
    case False{}:
      Equal.cong(Nat, Nat, x => 1n+x, h.len(K, V, M.HMap.entries.put(~K, ~V, ~eq, rest, k, v)),
        h.len(K, V, rest), ih(hit))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.egc
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.epc
  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/hmap.bend&name=Entry
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap.entries.get
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap.entries.put