PROOF.rhs.wb: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1343-1366 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=1343&end_line=1366

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 hi, after lo grew or hi shrank by one.
def rhs.wb(
  -K: Data, -V: Data, +k: K, +v: V, +lk: K, +lv: V, +ll: O.OMap<K, V>,
  +lh: O.OMap<K, V>, +hi: O.OMap<K, V>,
  +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)))),
  +hs: Ord.LE(1n+W(K, V, lh), Nat.mul(2n, W(K, V, ll)))
) -> {WB(K, V, O.OMap.bin(K, V, lk, lv, ll, O.OMap.bin(K, V, k, v, lh, hi))) == True{} : Bool}:
  +l = W(K, V, hi)
  +a = W(K, V, lh)
  +b = W(K, V, ll)
  +okl = wb.ok(K, V, lk, lv, ll, lh, wbl)
  +h1 = Ord.wok_l(b, a, okl)
  +h2 = Ord.wok_r(b, a, okl)
  +pl = w_pos(K, V, hi)
  +pa = w_pos(K, V, lh)
  +pb = w_pos(K, V, ll)
  wb.i(K, V, lk, lv, ll, O.OMap.bin(K, V, k, v, lh, hi),
    Ord.rhs.w0(l, a, b, h1, h2, heavy, alm, hs, pl, pa, pb),
    wb.l(K, V, lk, lv, ll, lh, wbl),
    wb.i(K, V, k, v, lh, hi, Ord.rhs.w1(l, a, b, h1, h2, heavy, alm, hs, pl, pa, pb),
      wb.h(K, V, lk, lv, ll, lh, wbl), 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=rhs.w0
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=rhs.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