PROOF.rls.wb: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1252-1275 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=1252&end_line=1275

import Base
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

# Rotations toward lo, after hi grew or lo shrank by one.
def rls.wb(
  -K: Data, -V: Data, +k: K, +v: V, +lo: O.OMap<K, V>, +hk: K, +hv: V,
  +hl: O.OMap<K, V>, +hh: O.OMap<K, V>,
  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)))),
  +hs: Ord.LE(1n+W(K, V, hl), Nat.mul(2n, W(K, V, hh)))
) -> {WB(K, V, O.OMap.bin(K, V, hk, hv, O.OMap.bin(K, V, k, v, lo, hl), hh)) == True{} : Bool}:
  +l = W(K, V, lo)
  +a = W(K, V, hl)
  +b = W(K, V, hh)
  +okh = wb.ok(K, V, hk, hv, hl, hh, wbh)
  +h1 = Ord.wok_r(a, b, okh)
  +h2 = Ord.wok_l(a, b, okh)
  +pl = w_pos(K, V, lo)
  +pa = w_pos(K, V, hl)
  +pb = w_pos(K, V, hh)
  wb.i(K, V, hk, hv, O.OMap.bin(K, V, k, v, lo, hl), hh,
    Ord.rls.w1(l, a, b, h1, h2, heavy, alm, hs, pl, pa, pb),
    wb.i(K, V, k, v, lo, hl, Ord.rls.w0(l, a, b, h1, h2, heavy, alm, hs, pl, pa, pb), wbl,
      wb.l(K, V, hk, hv, hl, hh, wbh)),
    wb.h(K, V, hk, hv, hl, hh, wbh))

Uses (18):
  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.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=w_pos
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=wb.h
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=wb.i
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=wb.l
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=wb.ok
  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/nat_order.bend&name=rls.w0
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=rls.w1
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=wok_l
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=wok_r
  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.bin