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feat(mpn_copyi): Proved correctness of mpn_copyi and other simple util functions.

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xiaoh105
2025-06-10 17:54:33 +08:00
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Require Import Coq.ZArith.ZArith.
Require Import Coq.Bool.Bool.
Require Import Coq.Strings.String.
Require Import Coq.Lists.List.
Require Import Coq.Classes.RelationClasses.
Require Import Coq.Classes.Morphisms.
Require Import Coq.micromega.Psatz.
Require Import Coq.Sorting.Permutation.
From AUXLib Require Import int_auto Axioms Feq Idents List_lemma VMap.
Require Import SetsClass.SetsClass. Import SetsNotation.
From SimpleC.SL Require Import Mem SeparationLogic.
From Require Import gmp_goal.
Require Import Logic.LogicGenerator.demo932.Interface.
Local Open Scope Z_scope.
Local Open Scope sets.
Local Open Scope string.
Local Open Scope list.
Import naive_C_Rules.
Local Open Scope sac.
Lemma proof_of_gmp_abs_safety_wit_1 : gmp_abs_safety_wit_1.
Proof. Admitted.
Lemma proof_of_gmp_cmp_safety_wit_1 : gmp_cmp_safety_wit_1.
Proof. Admitted.
Lemma proof_of_gmp_cmp_safety_wit_2 : gmp_cmp_safety_wit_2.
Proof. Admitted.
Lemma proof_of_gmp_cmp_safety_wit_3 : gmp_cmp_safety_wit_3.
Proof. Admitted.
Lemma proof_of_gmp_cmp_safety_wit_4 : gmp_cmp_safety_wit_4.
Proof. Admitted.
Lemma proof_of_gmp_cmp_return_wit_1_1 : gmp_cmp_return_wit_1_1.
Proof. Admitted.
Lemma proof_of_gmp_cmp_return_wit_1_3 : gmp_cmp_return_wit_1_3.
Proof. Admitted.
Lemma proof_of_mpn_copyi_safety_wit_1 : mpn_copyi_safety_wit_1.
Proof. Admitted.
Lemma proof_of_mpn_copyi_safety_wit_2 : mpn_copyi_safety_wit_2.
Proof. Admitted.
Lemma proof_of_mpn_copyi_partial_solve_wit_1 : mpn_copyi_partial_solve_wit_1.
Proof. Admitted.
Lemma proof_of_mpn_copyi_partial_solve_wit_2_pure : mpn_copyi_partial_solve_wit_2_pure.
Proof. Admitted.
Lemma proof_of_mpn_copyi_partial_solve_wit_2 : mpn_copyi_partial_solve_wit_2.
Proof. Admitted.
Lemma proof_of_mpn_copyi_partial_solve_wit_3 : mpn_copyi_partial_solve_wit_3.
Proof. Admitted.
Lemma proof_of_mpn_copyi_partial_solve_wit_4 : mpn_copyi_partial_solve_wit_4.
Proof. Admitted.
Lemma proof_of_mpn_copyi_partial_solve_wit_5 : mpn_copyi_partial_solve_wit_5.
Proof. Admitted.