PROOF.h.gp_same: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 2984-3011 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=2984&end_line=3011

import Base
import bend-mathlib@0.7.4.0/bool.bend as MBool
import bend-kit-collections@0.1.4.1/hmap.bend as M

def h.gp_same(
  ~K: Data, ~V: Data, ~hash: K -> U32, ~eq: K -> K -> Bool, ~refl: @x: K -> {eq(x, x) == True{} : Bool},
  n: Nat, +mask: U32, m: M.HMap<K, V>, +hk: U32, +k: K, +v: V,
  +ob: {h.onebit(mask) == True{} : Bool}, +wf: {h.WF(~K, ~V, ~hash, ~eq, n, m) == True{} : Bool}
) -> {h.G(~K, ~V, ~eq, n, mask, h.P(~K, ~V, ~eq, n, mask, m, hk, k, v), hk, k) == Some{v} : Maybe<&2, V>}:
  match n:
    case 0n:
      match m:
        case M.HNil{}:
          h.eg_put_same(~K, ~V, ~eq, ~refl, Nil{}, k, v)
        case M.HLeaf{o, es}:
          h.eg_put_same(~K, ~V, ~eq, ~refl, es, k, v)
        case M.HBranch{lo, hi}:
          Empty.absurd({h.G(~K, ~V, ~eq, 0n, mask, M.HBranch{lo, hi}, hk, k) == Some{v} : Maybe<&2, V>}, MBool.false_ne_true()(wf))
    case 1n+(+p):
      match m:
        case M.HNil{}:
          %h.g_lf_t(~K, ~V, ~eq, p, mask, hk, [M.Entry{k, v}], hk, k, h.u_refl(hk)) : {_ == Some{v} : Maybe<&2, V>}
          h.eg_put_same(~K, ~V, ~eq, ~refl, Nil{}, k, v)
        case M.HLeaf{+o, +es}:
          h.gp_same.lf(~K, ~V, ~eq, ~refl, p, mask, o, es, hk, k, v, U32.is_eq(o, hk), {==},
            h.split_same(~K, ~V, ~eq, ~refl, 1n+p, mask, o, es, hk, k, v, ob))
        case M.HBranch{+lo, +hi}:
          h.gp_same.br(~K, ~V, ~eq, p, mask, lo, hi, hk, k, v, U32.is_eq((hk .&. mask : U32), 0), {==},
            h.gp_same(~K, ~V, ~hash, ~eq, ~refl, p, (mask << 1n : U32), lo, hk, k, v, h.onebit_shl(mask, ob),
              MBool.eq_true_of_and_left(h.WF(~K, ~V, ~hash, ~eq, p, lo), h.WF(~K, ~V, ~hash, ~eq, p, hi), wf)),
            h.gp_same(~K, ~V, ~hash, ~eq, ~refl, p, (mask << 1n : U32), hi, hk, k, v, h.onebit_shl(mask, ob),
              MBool.eq_true_of_and_right(h.WF(~K, ~V, ~hash, ~eq, p, lo), h.WF(~K, ~V, ~hash, ~eq, p, hi), wf)))

Uses (25):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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.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/PROOF.bend&name=h.G
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.P
  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.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.gp_same.br
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.gp_same.lf
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.onebit
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.onebit_shl
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.split_same
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.u_refl
  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
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=eq_true_of_and_left
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=eq_true_of_and_right
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=false_ne_true