Reduce.fold_lt2_hi: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend as Reduce
Lines 128-133 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend&start_line=128&end_line=133

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq.bend as I

def fold_lt2_hi(+t: Nat, +lo: Nat, +cv: Nat, +d: Nat, +f: Nat, +x: Nat, +hd: {Nat.is_le(Nat.add(d, cv), t) == True{} : Bool}, +ll: {Nat.is_lt(lo, t) == True{} : Bool}, +hx: {Nat.is_lt(x, Nat.add(t, d)) == True{} : Bool}, hi: Nat, +ex: {x == Nat.add(lo, Nat.mul(hi, t)) : Nat}, +ef: {f == Nat.add(lo, Nat.mul(hi, cv)) : Nat}) -> {Nat.is_lt(f, t) == True{} : Bool}:
  match hi:
    case 0n:
      fold_lt2_z(t, lo, cv, f, ll, ef)
    case 1n+ +h:
      fold_lt2_h(t, lo, cv, d, f, hd, h, cancel_t(t, lo, h, d, I.lt_subst_l(x, Nat.add(lo, Nat.mul(1n+h, t)), Nat.add(t, d), ex, hx)), ef)

Uses (10):
  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_le
  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-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq.bend&name=lt_subst_l
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend&name=cancel_t
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend&name=fold_lt2_h
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend&name=fold_lt2_z