PROOF.rlp.wb: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1313-1328 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=1313&end_line=1328

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 rlp.wb(
  -K: Data, -V: Data, single: Bool, +k: K, +v: V, +lo: O.OMap<K, V>, +hk: K, +hv: V,
  +hl: O.OMap<K, V>, +hh: O.OMap<K, V>,
  es: {Nat.is_lt(W(K, V, hl), Nat.mul(2n, W(K, V, hh))) == single : Bool},
  wbl: {WB(K, V, lo) == True{} : Bool},
  wbh: {WB(K, V, O.OBin{0, hk, hv, hl, hh}) == True{} : Bool},
  heavy: Ord.LE(1n+Nat.mul(3n, W(K, V, lo)), Nat.add(W(K, V, hl), W(K, V, hh))),
  alm: Ord.LE(Nat.add(W(K, V, hl), W(K, V, hh)), Nat.add(3n, Nat.mul(3n, W(K, V, lo))))
) -> {WB(K, V, O.OMap.rot_lo.pick(K, V, single, k, v, lo, hk, hv, hl, hh)) == True{} : Bool}:
  match single:
    case True{}:
      rls.wb(K, V, k, v, lo, hk, hv, hl, hh, wbl, wbh, heavy, alm,
        MNat.succ_le_of_lt(W(K, V, hl), Nat.mul(2n, W(K, V, hh)), es))
    case False{}:
      rld.wb(K, V, hl, k, v, lo, hk, hv, hh, wbl, wbh, heavy, alm,
        MNat.le_of_not_lt(W(K, V, hl), Nat.mul(2n, W(K, V, hh)), 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=rld.wb
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=rls.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_lo.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