PROOF.h.eg_put_other.c: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 2112-2130 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=2112&end_line=2130

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

def h.eg_put_other.c(
  ~K: Data, ~V: Data, ~eq: K -> K -> Bool,
  ~sound: @x: K -> @y: K -> {eq(x, y) == True{} : Bool} -> {x == y : K},
  +key: K, +val: V, +rest: List<&2, M.Entry<K, V>>, +k2: K, +k: K, +v: V,
  +ne: {eq(k, k2) == False{} : Bool}, b: Bool, eb: {b == eq(k2, key) : Bool},
  ih: {M.HMap.entries.get(~K, ~V, ~eq, M.HMap.entries.put(~K, ~V, ~eq, rest, k2, v), k)
       == M.HMap.entries.get(~K, ~V, ~eq, rest, k) : Maybe<&2, V>}
) -> {M.HMap.entries.get(~K, ~V, ~eq, h.epc(~K, ~V, ~eq, b, key, val, rest, k2, v), k)
      == h.egc(~K, ~V, ~eq, eq(k, key), val, rest, k) : Maybe<&2, V>}:
  match b:
    case True{}:
      +nk = h.nk(~K, ~eq, ~sound, k2, key, k, h.sb(True{}, eq(k2, key), eb), ne)
      %h.sb(eq(k, key), False{}, nk)
        : {h.egc(~K, ~V, ~eq, _, v, rest, k) == h.egc(~K, ~V, ~eq, eq(k, key), val, rest, k) : Maybe<&2, V>}
      %h.sb(eq(k, key), False{}, nk)
        : {M.HMap.entries.get(~K, ~V, ~eq, rest, k) == h.egc(~K, ~V, ~eq, _, val, rest, k) : Maybe<&2, V>}
      {==}
    case False{}:
      h.egc2(~K, ~V, ~eq, eq(k, key), val, M.HMap.entries.put(~K, ~V, ~eq, rest, k2, v), rest, k, ih)

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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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.egc2
  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.nk
  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/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