val lemma_refl: x:S.ext_point_c ->
  Lemma (S.mk_ed25519_concrete_ops.SE.to.SE.refl x ==
    mk_to_ed25519_comm_monoid.BE.refl (Seq.seq_of_list (ext_point_to_list x)))
let lemma_refl x =
  SPTE.ext_point_to_list_lemma x
val lemma_refl: x:S.ext_point_c ->
  Lemma (S.mk_ed25519_concrete_ops.SE.to.SE.refl x ==
    mk_to_ed25519_comm_monoid.BE.refl (Seq.seq_of_list (ext_point_to_list x)))
let lemma_refl x =
SPTE.ext_point_to_list_lemma x
Hacl.Ed25519.PrecompTable.fst.checked
Spec.Exponentiation.fsti.checked Spec.Ed25519.fst.checked Spec.Curve25519.fst.checked prims.fst.checked Lib.Sequence.fsti.checked Lib.NatMod.fsti.checked Lib.IntTypes.fsti.checked Lib.Buffer.fsti.checked Hacl.Spec.PrecompBaseTable256.fsti.checked Hacl.Spec.PrecompBaseTable.fsti.checked Hacl.Spec.Ed25519.PrecompTable.fsti.checked Hacl.Impl.Ed25519.Group.fst.checked Hacl.Bignum25519.fsti.checked FStar.UInt32.fsti.checked FStar.Seq.fst.checked FStar.Pervasives.Native.fst.checked FStar.Pervasives.fsti.checked FStar.Mul.fst.checked FStar.Math.Lemmas.fst.checked FStar.List.Tot.fst.checked FStar.HyperStack.ST.fsti.checked FStar.HyperStack.All.fst.checked FStar.Calc.fsti.checked
Hacl.Ed25519.PrecompTable.fst
Spec.Ed25519.ext_point_c Hacl.Spec.Ed25519.PrecompTable.ext_point_to_list_lemma Prims.unit
module Hacl.Ed25519.PrecompTable

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

open Lib.IntTypes
open Lib.Buffer

open Hacl.Bignum25519

module LSeq = Lib.Sequence
module LM = Lib.NatMod
module SE = Spec.Exponentiation
module SPT = Hacl.Spec.PrecompBaseTable
module SPT256 = Hacl.Spec.PrecompBaseTable256
module SPTE = Hacl.Spec.Ed25519.PrecompTable
module S = Spec.Ed25519
module SC = Spec.Curve25519

include Hacl.Impl.Ed25519.Group

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

let ext_point_to_list p =
  SPTE.ext_point_to_list_lemma p;
  SPTE.ext_point_to_list p
val lemma_refl: x:S.ext_point_c ->
  Lemma (S.mk_ed25519_concrete_ops.SE.to.SE.refl x ==
    mk_to_ed25519_comm_monoid.BE.refl (Seq.seq_of_list (ext_point_to_list x)))
x: Spec.Ed25519.ext_point_c
  -> FStar.Pervasives.Lemma
    (ensures
      Mkto_comm_monoid?.refl (Mkconcrete_ops?.to Spec.Ed25519.mk_ed25519_concrete_ops) x ==
      Mkto_comm_monoid?.refl Hacl.Impl.Ed25519.Group.mk_to_ed25519_comm_monoid
        (FStar.Seq.Properties.seq_of_list (Hacl.Ed25519.PrecompTable.ext_point_to_list x)))