Mulw.cb32: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/mulw.bend as Mulw
Lines 61-66 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/mulw.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/mulw.bend&start_line=61&end_line=66

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend as WD
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/num.bend as M
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend as LM
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend as PL

def cb32(+one: Nat, +h1: {one == 1n : Nat}, +a: List<&2, U32>, +b: Nat, +ha: {LM.okb(32n, a, b) == True{} : Bool}) -> {PL.cb(a, Nat.mul(WD.sc(8n, one), WD.sc(8n, one))) == WD.sc(21n, one) : Nat}:
  +mm = Nat.mul(WD.sc(8n, one), WD.sc(8n, one))
  +e1 = cb_okb(32n, a, b, mm, ha)
  +e2 = cbn_pow(5n, mm)
  +e3 = M.cong_sc(5n, mm, WD.sc(16n, one), mm8(one, h1))
  Equal.trans(Nat, PL.cb(a, mm), PL.cbn(32n, mm), WD.sc(21n, one), e1, Equal.trans(Nat, PL.cbn(32n, mm), WD.sc(5n, mm), WD.sc(21n, one), e2, e3))

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=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend&name=okb
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/mulw.bend&name=cb_okb
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/mulw.bend&name=cbn_pow
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/mulw.bend&name=mm8
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/num.bend&name=cong_sc
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend&name=cb
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend&name=cbn
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&name=sc