(* Open Source License *)
(* Copyright (c) 2019 Nomadic Labs. <contact@nomadic-labs.com> *)
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(* Coq *)
Require Import String.
Require Import Michocoq.macros.
Import syntax.
Import comparable.
Require Import NArith.
Require Import ZArith.
Require Import Coq.Setoids.Setoid.
Require Import Coq.micromega.Lia.
From Coq Require Import Program.Tactics.
(* Mi-Cho-Coq *)
Require Import semantics.
Require Import util.
Import error.
Require List.
(* Dexter *)
Require dexter_definition.
Require dexter_spec.
Require Import dexter_util.
Require Import dexter_spec_util.
Module Spec := dexter_spec.
Module Def := dexter_definition.
Import Def.Storage.
Import Tactics.
Require Import contract_semantics.
(* It's better not to unfold compare in this proof,
* this makes it easier to use util.eqb_eq.
*)
Opaque N.mul.
Opaque N.add.
Opaque Z.modulo.
Opaque compare.
Opaque int64bv.sign.
Opaque int64bv.to_Z.
Opaque negb.
Opaque ediv_Z.
Opaque Z.add.
Opaque Z.sub.
Opaque Z.mul.
Opaque N.add.
Opaque N.sub.
Definition ep_setLqtAddress := Eval vm_compute in Def.ep_setLqtAddress.
Lemma ep_setLqtAddress_same : Def.ep_setLqtAddress = ep_setLqtAddress.
Proof.
reflexivity.
Qed.
Lemma ep_setLqtAddress_correct
(env : @proto_env dexter_definition.self_type)
(p : data dexter_definition.parameter_ep_setLqtAddress_ty)
(sto : data dexter_definition.storage_ty)
(ret_ops : Datatypes.list (data operation))
(ret_sto : data dexter_definition.storage_ty) :
eval0_seq_precond env Def.ep_setLqtAddress
(fun x => x = (ret_ops, ret_sto, tt))
(p, (sto, tt)) <->
Spec.ep_setLqtAddress env p sto ret_ops ret_sto.
Proof.
rewrite ep_setLqtAddress_same.
simpl.
destruct_sto sto
tokenPool xtzPool lqtTotal selfIsUpdatingTokenPool freezeBaker manager tokenAddress lqtAddress.
unfold Spec.ep_setLqtAddress.
apply and_both_0.
- apply bool_false_not.
- apply and_both_0.
+ rewrite lt_is_leb.
rewrite Bool.negb_false_iff.
apply comparison_to_int_tez_compare_le_zero.
+ repeat rewrite Bool.negb_false_iff.
do 2 rewrite (eqb_eq address).
intuition; try subst; try cbn; try intuition congruence.
Qed.