PROOF.h.gp_other.br: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3174-3193 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=3174&end_line=3193

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

def h.gp_other.br(
  ~K: Data, ~V: Data, ~eq: K -> K -> Bool, +p: Nat, +mask: U32, +lo: M.HMap<K, V>,
  +hi: M.HMap<K, V>, +h2: U32, +k2: K, +hk: U32, +k: K, +v: V, b: Bool,
  il: {h.G(~K, ~V, ~eq, p, (mask << 1n : U32), h.P(~K, ~V, ~eq, p, (mask << 1n : U32), lo, h2, k2, v), hk, k)
       == h.G(~K, ~V, ~eq, p, (mask << 1n : U32), lo, hk, k) : Maybe<&2, V>},
  ih: {h.G(~K, ~V, ~eq, p, (mask << 1n : U32), h.P(~K, ~V, ~eq, p, (mask << 1n : U32), hi, h2, k2, v), hk, k)
       == h.G(~K, ~V, ~eq, p, (mask << 1n : U32), hi, hk, k) : Maybe<&2, V>}
) -> {h.G(~K, ~V, ~eq, 1n+p, mask, h.pb(~K, ~V, ~eq, b, p, mask, lo, hi, h2, k2, v), hk, k)
      == h.G(~K, ~V, ~eq, 1n+p, mask, M.HBranch{lo, hi}, hk, k) : Maybe<&2, V>}:
  match b:
    case True{}:
      h.bool_l(Maybe<&2, V>, U32.is_eq((hk .&. mask : U32), 0),
        h.G(~K, ~V, ~eq, p, (mask << 1n : U32), h.P(~K, ~V, ~eq, p, (mask << 1n : U32), lo, h2, k2, v), hk, k),
        h.G(~K, ~V, ~eq, p, (mask << 1n : U32), lo, hk, k),
        h.G(~K, ~V, ~eq, p, (mask << 1n : U32), hi, hk, k), il)
    case False{}:
      h.bool_r(Maybe<&2, V>, U32.is_eq((hk .&. mask : U32), 0),
        h.G(~K, ~V, ~eq, p, (mask << 1n : U32), lo, hk, k),
        h.G(~K, ~V, ~eq, p, (mask << 1n : U32), h.P(~K, ~V, ~eq, p, (mask << 1n : U32), hi, h2, k2, v), hk, k),
        h.G(~K, ~V, ~eq, p, (mask << 1n : U32), hi, hk, k), ih)

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.bool_l
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.bool_r
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.pb
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/hmap.bend&name=HMap