val make_fone: n:felem -> Stack unit
  (requires fun h -> live h n)
  (ensures  fun h0 _ h1 -> modifies (loc n) h0 h1 /\
    as_nat h1 n < S.prime /\
    fmont_as_nat h1 n == 1)
let make_fone n =
  // 0xfffffffeffffffffffffffffffffffff000000000000000000000001
  [@inline_let] let n0 = u64 0x1 in
  [@inline_let] let n1 = u64 0xffffffff00000000 in
  [@inline_let] let n2 = u64 0xffffffffffffffff in
  [@inline_let] let n3 = u64 0xfffffffe in
  assert_norm (v n0 + v n1 * pow2 64 + v n2 * pow2 128 + v n3 * pow2 192 < S.prime);
  assert_norm (v n0 + v n1 * pow2 64 + v n2 * pow2 128 + v n3 * pow2 192 == SM.to_mont 1);
  SM.lemma_to_from_mont_id 1;
  bn_make_u64_4 n n0 n1 n2 n3
val make_fone: n:felem -> Stack unit
  (requires fun h -> live h n)
  (ensures  fun h0 _ h1 -> modifies (loc n) h0 h1 /\
    as_nat h1 n < S.prime /\
    fmont_as_nat h1 n == 1)
let make_fone n =
[@@ inline_let ]let n0 = u64 0x1 in
[@@ inline_let ]let n1 = u64 0xffffffff00000000 in
[@@ inline_let ]let n2 = u64 0xffffffffffffffff in
[@@ inline_let ]let n3 = u64 0xfffffffe in
assert_norm (v n0 + v n1 * pow2 64 + v n2 * pow2 128 + v n3 * pow2 192 < S.prime);
assert_norm (v n0 + v n1 * pow2 64 + v n2 * pow2 128 + v n3 * pow2 192 == SM.to_mont 1);
SM.lemma_to_from_mont_id 1;
bn_make_u64_4 n n0 n1 n2 n3
Hacl.Impl.P256.Field.fst.checked
Spec.P256.fst.checked prims.fst.checked Lib.IntTypes.fsti.checked Lib.Buffer.fsti.checked Hacl.Spec.P256.Montgomery.fsti.checked Hacl.Spec.Bignum.Definitions.fst.checked Hacl.Impl.P256.Constants.fst.checked Hacl.Impl.P256.Bignum.fsti.checked Hacl.Bignum256.fst.checked Hacl.Bignum.Montgomery.fsti.checked FStar.UInt32.fsti.checked FStar.Pervasives.fsti.checked FStar.Mul.fst.checked FStar.Math.Lemmas.fst.checked FStar.HyperStack.ST.fsti.checked FStar.HyperStack.All.fst.checked FStar.HyperStack.fst.checked FStar.Calc.fsti.checked
Hacl.Impl.P256.Field.fst
Hacl.Impl.P256.Bignum.felem Hacl.Impl.P256.Bignum.bn_make_u64_4 Prims.unit Hacl.Spec.P256.Montgomery.lemma_to_from_mont_id FStar.Pervasives.assert_norm Prims.eq2 Prims.int Prims.op_Addition Lib.IntTypes.v Lib.IntTypes.U64 Lib.IntTypes.SEC FStar.Mul.op_Star Prims.pow2 Hacl.Spec.P256.Montgomery.to_mont Prims.b2t Prims.op_LessThan Spec.P256.PointOps.prime Lib.IntTypes.int_t Lib.IntTypes.range Lib.IntTypes.u64
module Hacl.Impl.P256.Field

open FStar.Mul
open FStar.HyperStack.All
open FStar.HyperStack
module ST = FStar.HyperStack.ST

open Lib.IntTypes
open Lib.Buffer

open Hacl.Impl.P256.Bignum
open Hacl.Impl.P256.Constants

module S = Spec.P256
module SM = Hacl.Spec.P256.Montgomery

module BD = Hacl.Spec.Bignum.Definitions
module BM = Hacl.Bignum.Montgomery

friend Hacl.Bignum256

#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"

///  Create zero and one

[@CInline]
let make_fzero n =
  bn_set_zero4 n;
  assert_norm (SM.to_mont 0 = 0);
  SM.lemma_to_from_mont_id 0


[@CInline]
let make_fone n =
val make_fone: n:felem -> Stack unit
  (requires fun h -> live h n)
  (ensures  fun h0 _ h1 -> modifies (loc n) h0 h1 /\
    as_nat h1 n < S.prime /\
    fmont_as_nat h1 n == 1)
n: Hacl.Impl.P256.Bignum.felem -> FStar.HyperStack.ST.Stack Prims.unit