Bounds.pos_pos: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bounds.bend as Bounds
Lines 20-26 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bounds.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bounds.bend&start_line=20&end_line=26

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/width.bend as WW
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend as LV
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq.bend as I

def pos_pos(+one: Nat, +h1: {one == 1n : Nat}, k: Nat) -> {Nat.is_lt(0n, LV.pos(k, one)) == True{} : Bool}:
  match k:
    case 0n:
      lt_one(one, h1)
    case 1n+ +j:
      %Equal.sym(Nat, 0n, C.shift(16n, 0n), Equal.sym(Nat, C.shift(16n, 0n), 0n, WW.shift_zero(16n))) : {Nat.is_lt(_, C.shift(16n, LV.pos(j, one))) == True{} : Bool}
      I.shift_lt(16n, 0n, LV.pos(j, one), pos_pos(one, h1, j))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bounds.bend&name=lt_one
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq.bend&name=shift_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&name=pos
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/width.bend&name=shift_zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=shift