PROOF.rhp.wb: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1404-1419 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=1404&end_line=1419

import Base
import bend-mathlib@0.7.4.0/nat.bend as MNat
import bend-kit-collections@0.1.4.1/omap.bend as O
import bend-kit-collections@0.1.4.1/nat_order.bend as Ord

def rhp.wb(
  -K: Data, -V: Data, single: Bool, +k: K, +v: V, +lk: K, +lv: V, +ll: O.OMap<K, V>,
  +lh: O.OMap<K, V>, +hi: O.OMap<K, V>,
  es: {Nat.is_lt(W(K, V, lh), Nat.mul(2n, W(K, V, ll))) == single : Bool},
  wbl: {WB(K, V, O.OBin{0, lk, lv, ll, lh}) == True{} : Bool},
  wbh: {WB(K, V, hi) == True{} : Bool},
  heavy: Ord.LE(1n+Nat.mul(3n, W(K, V, hi)), Nat.add(W(K, V, ll), W(K, V, lh))),
  alm: Ord.LE(Nat.add(W(K, V, ll), W(K, V, lh)), Nat.add(3n, Nat.mul(3n, W(K, V, hi))))
) -> {WB(K, V, O.OMap.rot_hi.pick(K, V, single, k, v, lk, lv, ll, lh, hi)) == True{} : Bool}:
  match single:
    case True{}:
      rhs.wb(K, V, k, v, lk, lv, ll, lh, hi, wbl, wbh, heavy, alm,
        MNat.succ_le_of_lt(W(K, V, lh), Nat.mul(2n, W(K, V, ll)), es))
    case False{}:
      rhd.wb(K, V, lh, k, v, lk, lv, ll, hi, wbl, wbh, heavy, alm,
        MNat.le_of_not_lt(W(K, V, lh), Nat.mul(2n, W(K, V, ll)), es))

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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=W
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=WB
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=rhd.wb
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=rhs.wb
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=LE
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/omap.bend&name=OMap
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/omap.bend&name=OMap.rot_hi.pick
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=le_of_not_lt
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=succ_le_of_lt