PROOF.h.gp_same.lf: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 2953-2965 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=2953&end_line=2965

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

def h.gp_same.lf(
  ~K: Data, ~V: Data, ~eq: K -> K -> Bool, ~refl: @x: K -> {eq(x, x) == True{} : Bool},
  +p: Nat, +mask: U32, +o: U32, +es: List<&2, M.Entry<K, V>>, +hk: U32, +k: K, +v: V,
  b: Bool, eb: {b == U32.is_eq(o, hk) : Bool},
  sp: {h.G(~K, ~V, ~eq, 1n+p, mask, h.S(~K, ~V, ~eq, 1n+p, mask, o, es, hk, k, v), hk, k) == Some{v} : Maybe<&2, V>}
) -> {h.G(~K, ~V, ~eq, 1n+p, mask, h.pl(~K, ~V, ~eq, b, p, mask, o, es, hk, k, v), hk, k) == Some{v} : Maybe<&2, V>}:
  match b:
    case True{}:
      %h.g_lf_t(~K, ~V, ~eq, p, mask, o, M.HMap.entries.put(~K, ~V, ~eq, es, k, v), hk, k,
        h.sb(True{}, U32.is_eq(o, hk), eb)) : {_ == Some{v} : Maybe<&2, V>}
      h.eg_put_same(~K, ~V, ~eq, ~refl, es, k, v)
    case False{}:
      sp

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=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/PROOF.bend&name=h.G
  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_same
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.g_lf_t
  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/hmap.bend&name=Entry
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap.entries.put