diff options
Diffstat (limited to 'test-suite/success')
110 files changed, 2343 insertions, 724 deletions
diff --git a/test-suite/success/Abstract.v b/test-suite/success/Abstract.v index ffd50f6e..d52a853a 100644 --- a/test-suite/success/Abstract.v +++ b/test-suite/success/Abstract.v @@ -1,5 +1,4 @@ - -(* Cf coqbugs #546 *) +(* Cf BZ#546 *) Require Import Omega. diff --git a/test-suite/success/BracketsWithGoalSelector.v b/test-suite/success/BracketsWithGoalSelector.v new file mode 100644 index 00000000..ed035f52 --- /dev/null +++ b/test-suite/success/BracketsWithGoalSelector.v @@ -0,0 +1,16 @@ +Goal forall A B, B \/ A -> A \/ B. +Proof. + intros * [HB | HA]. + 2: { + left. + exact HA. + Fail right. (* No such goal. Try unfocusing with "}". *) + } + Fail 2: { (* Non-existent goal. *) + idtac. (* The idtac is to get a dot, so that IDEs know to stop there. *) + 1:{ (* Syntactic test: no space before bracket. *) + right. + exact HB. +Fail Qed. + } +Qed. diff --git a/test-suite/success/Case19.v b/test-suite/success/Case19.v index c29e5297..ce98879a 100644 --- a/test-suite/success/Case19.v +++ b/test-suite/success/Case19.v @@ -1,5 +1,5 @@ (* This used to fail in Coq version 8.1 beta due to a non variable - universe (issued by the inductive sort-polymorphism) being sent by + universe (issued by template polymorphism) being sent by pretyping to the kernel (bug #1182) *) Variable T : Type. @@ -17,3 +17,22 @@ Fail exists (fun x => with | eq_refl => eq_refl end). +Abort. + +(* Some tests with ltac matching on building "if" and "let" *) + +Goal forall b c d, (if negb b then c else d) = 0. +intros. +match goal with +|- (if ?b then ?c else ?d) = 0 => transitivity (if b then d else c) +end. +Abort. + +Definition swap {A} {B} '((x,y):A*B) := (y,x). + +Goal forall p, (let '(x,y) := swap p in x + y) = 0. +intros. +match goal with +|- (let '(x,y) := ?p in x + y) = 0 => transitivity (let (x,y) := p in x+y) +end. +Abort. diff --git a/test-suite/success/Case22.v b/test-suite/success/Case22.v index 3c696502..465b3eb8 100644 --- a/test-suite/success/Case22.v +++ b/test-suite/success/Case22.v @@ -41,6 +41,7 @@ Definition F (x:IND True) (A:Type) := Theorem paradox : False. (* This succeeded in 8.3, 8.4 and 8.5beta1 because F had wrong type *) Fail Proof (F C False). +Abort. (* Another bug found in November 2015 (a substitution was wrongly reversed at pretyping level) *) @@ -61,3 +62,30 @@ Inductive Ind2 (b:=1) (c:nat) : Type := Constr2 : Ind2 c. Eval vm_compute in Constr2 2. + +(* A bug introduced in ade2363 (similar to #5322 and #5324). This + commit started to see that some List.rev was wrong in the "var" + case of a pattern-matching problem but it failed to see that a + transformation from a list of arguments into a substitution was + still needed. *) + +(* The order of real arguments was made wrong by ade2363 in the "var" + case of the compilation of "match" *) + +Inductive IND2 : forall X Y:Type, Type := + CONSTR2 : IND2 unit Empty_set. + +Check fun x:IND2 bool nat => + match x in IND2 a b return a with + | y => _ + end = true. + +(* From January 2017, using the proper function to turn arguments into + a substitution up to a context possibly containing let-ins, so that + the following, which was wrong also before ade2363, now works + correctly *) + +Check fun x:Ind bool nat => + match x in Ind _ X Y Z return Z with + | y => (true,0) + end. diff --git a/test-suite/success/Cases.v b/test-suite/success/Cases.v index 49c465b6..52fe98ac 100644 --- a/test-suite/success/Cases.v +++ b/test-suite/success/Cases.v @@ -1868,3 +1868,8 @@ Definition transport {A} (P : A->Type) {x y : A} (p : x=y) (u : P x) : P y := Check match eq_refl 0 in _=O return O=O with eq_refl => eq_refl end. Check match niln in listn O return O=O with niln => eq_refl end. + +(* A test about nested "as" clauses *) +(* (was failing up to May 2017) *) + +Check fun x => match x with (y,z) as t as w => (y+z,t) = (0,w) end. diff --git a/test-suite/success/Check.v b/test-suite/success/Check.v index e4ee351c..36fecf72 100644 --- a/test-suite/success/Check.v +++ b/test-suite/success/Check.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (* Compiling the theories allows testing parsing and typing but not printing *) (* This file tests that pretty-printing does not fail *) @@ -12,3 +14,5 @@ Check 0. Check S. Check nat. + +Type Type : Type. diff --git a/test-suite/success/Compat84.v b/test-suite/success/Compat84.v deleted file mode 100644 index db6348fa..00000000 --- a/test-suite/success/Compat84.v +++ /dev/null @@ -1,19 +0,0 @@ -(* -*- coq-prog-args: ("-emacs" "-compat" "8.4") -*- *) - -Goal True. - solve [ constructor 1 ]. Undo. - solve [ econstructor 1 ]. Undo. - solve [ constructor ]. Undo. - solve [ econstructor ]. Undo. - solve [ constructor (fail) ]. Undo. - solve [ econstructor (fail) ]. Undo. - split. -Qed. - -Goal False \/ True. - solve [ constructor (constructor) ]. Undo. - solve [ econstructor (econstructor) ]. Undo. - solve [ constructor 2; constructor ]. Undo. - solve [ econstructor 2; econstructor ]. Undo. - right; esplit. -Qed. diff --git a/test-suite/success/CompatCurrentFlag.v b/test-suite/success/CompatCurrentFlag.v new file mode 100644 index 00000000..288c9d1d --- /dev/null +++ b/test-suite/success/CompatCurrentFlag.v @@ -0,0 +1,3 @@ +(* -*- coq-prog-args: ("-compat" "8.8") -*- *) +(** Check that the current compatibility flag actually requires the relevant modules. *) +Import Coq.Compat.Coq88. diff --git a/test-suite/success/CompatOldFlag.v b/test-suite/success/CompatOldFlag.v new file mode 100644 index 00000000..b7bbc505 --- /dev/null +++ b/test-suite/success/CompatOldFlag.v @@ -0,0 +1,5 @@ +(* -*- coq-prog-args: ("-compat" "8.6") -*- *) +(** Check that the current-minus-two compatibility flag actually requires the relevant modules. *) +Import Coq.Compat.Coq88. +Import Coq.Compat.Coq87. +Import Coq.Compat.Coq86. diff --git a/test-suite/success/CompatPreviousFlag.v b/test-suite/success/CompatPreviousFlag.v new file mode 100644 index 00000000..9cfe6039 --- /dev/null +++ b/test-suite/success/CompatPreviousFlag.v @@ -0,0 +1,4 @@ +(* -*- coq-prog-args: ("-compat" "8.7") -*- *) +(** Check that the current-minus-one compatibility flag actually requires the relevant modules. *) +Import Coq.Compat.Coq88. +Import Coq.Compat.Coq87. diff --git a/test-suite/success/Discriminate.v b/test-suite/success/Discriminate.v index a7596741..6abfca4c 100644 --- a/test-suite/success/Discriminate.v +++ b/test-suite/success/Discriminate.v @@ -38,3 +38,10 @@ Abort. Goal ~ identity 0 1. discriminate. Qed. + +(* Check discriminate on types with local definitions *) + +Inductive A := B (T := unit) (x y : bool) (z := x). +Goal forall x y, B x true = B y false -> False. +discriminate. +Qed. diff --git a/test-suite/success/Field.v b/test-suite/success/Field.v index 438e4613..fdf7797d 100644 --- a/test-suite/success/Field.v +++ b/test-suite/success/Field.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (**** Tests of Field with real numbers ****) diff --git a/test-suite/success/Fixpoint.v b/test-suite/success/Fixpoint.v index 5fc703cf..efb32ef6 100644 --- a/test-suite/success/Fixpoint.v +++ b/test-suite/success/Fixpoint.v @@ -91,3 +91,33 @@ apply Cons2. exact b. apply (ex1 (S n) (negb b)). Defined. + +Section visibility. + + Let Fixpoint imm (n:nat) : True := I. + + Let Fixpoint by_proof (n:nat) : True. + Proof. exact I. Defined. +End visibility. + +Fail Check imm. +Fail Check by_proof. + +Module Import mod_local. + Fixpoint imm_importable (n:nat) : True := I. + + Local Fixpoint imm_local (n:nat) : True := I. + + Fixpoint by_proof_importable (n:nat) : True. + Proof. exact I. Defined. + + Local Fixpoint by_proof_local (n:nat) : True. + Proof. exact I. Defined. +End mod_local. + +Check imm_importable. +Fail Check imm_local. +Check mod_local.imm_local. +Check by_proof_importable. +Fail Check by_proof_local. +Check mod_local.by_proof_local. diff --git a/test-suite/success/Funind.v b/test-suite/success/Funind.v index 3bf97c13..f87f2e2a 100644 --- a/test-suite/success/Funind.v +++ b/test-suite/success/Funind.v @@ -1,4 +1,6 @@ +Require Import Coq.funind.FunInd. + Definition iszero (n : nat) : bool := match n with | O => true diff --git a/test-suite/success/FunindExtraction_compat86.v b/test-suite/success/FunindExtraction_compat86.v new file mode 100644 index 00000000..8912197d --- /dev/null +++ b/test-suite/success/FunindExtraction_compat86.v @@ -0,0 +1,506 @@ +(* -*- coq-prog-args: ("-compat" "8.6") -*- *) + +Definition iszero (n : nat) : bool := + match n with + | O => true + | _ => false + end. + +Functional Scheme iszero_ind := Induction for iszero Sort Prop. + +Lemma toto : forall n : nat, n = 0 -> iszero n = true. +intros x eg. + functional induction iszero x; simpl. +trivial. +inversion eg. +Qed. + + +Function ftest (n m : nat) : nat := + match n with + | O => match m with + | O => 0 + | _ => 1 + end + | S p => 0 + end. +(* MS: FIXME: apparently can't define R_ftest_complete. Rest of the file goes through. *) + +Lemma test1 : forall n m : nat, ftest n m <= 2. +intros n m. + functional induction ftest n m; auto. +Qed. + +Lemma test2 : forall m n, ~ 2 = ftest n m. +Proof. +intros n m;intro H. +functional inversion H ftest. +Qed. + +Lemma test3 : forall n m, ftest n m = 0 -> (n = 0 /\ m = 0) \/ n <> 0. +Proof. +functional inversion 1 ftest;auto. +Qed. + + +Require Import Arith. +Lemma test11 : forall m : nat, ftest 0 m <= 2. +intros m. + functional induction ftest 0 m. +auto. +auto. +auto with *. +Qed. + +Function lamfix (m n : nat) {struct n } : nat := + match n with + | O => m + | S p => lamfix m p + end. + +(* Parameter v1 v2 : nat. *) + +Lemma lamfix_lem : forall v1 v2 : nat, lamfix v1 v2 = v1. +intros v1 v2. + functional induction lamfix v1 v2. +trivial. +assumption. +Defined. + + + +(* polymorphic function *) +Require Import List. + +Functional Scheme app_ind := Induction for app Sort Prop. + +Lemma appnil : forall (A : Set) (l l' : list A), l' = nil -> l = l ++ l'. +intros A l l'. + functional induction app A l l'; intuition. + rewrite <- H0; trivial. +Qed. + + + + + +Require Export Arith. + + +Function trivfun (n : nat) : nat := + match n with + | O => 0 + | S m => trivfun m + end. + + +(* essaie de parametre variables non locaux:*) + +Parameter varessai : nat. + +Lemma first_try : trivfun varessai = 0. + functional induction trivfun varessai. +trivial. +assumption. +Defined. + + + Functional Scheme triv_ind := Induction for trivfun Sort Prop. + +Lemma bisrepetita : forall n' : nat, trivfun n' = 0. +intros n'. + functional induction trivfun n'. +trivial. +assumption. +Qed. + + + + + + + +Function iseven (n : nat) : bool := + match n with + | O => true + | S (S m) => iseven m + | _ => false + end. + + +Function funex (n : nat) : nat := + match iseven n with + | true => n + | false => match n with + | O => 0 + | S r => funex r + end + end. + + +Function nat_equal_bool (n m : nat) {struct n} : bool := + match n with + | O => match m with + | O => true + | _ => false + end + | S p => match m with + | O => false + | S q => nat_equal_bool p q + end + end. + + +Require Export Div2. +Require Import Nat. +Functional Scheme div2_ind := Induction for div2 Sort Prop. +Lemma div2_inf : forall n : nat, div2 n <= n. +intros n. + functional induction div2 n. +auto. +auto. + +apply le_S. +apply le_n_S. +exact IHn0. +Qed. + +(* reuse this lemma as a scheme:*) + +Function nested_lam (n : nat) : nat -> nat := + match n with + | O => fun m : nat => 0 + | S n' => fun m : nat => m + nested_lam n' m + end. + + +Lemma nest : forall n m : nat, nested_lam n m = n * m. +intros n m. + functional induction nested_lam n m; simpl;auto. +Qed. + + +Function essai (x : nat) (p : nat * nat) {struct x} : nat := + let (n, m) := (p: nat*nat) in + match n with + | O => 0 + | S q => match x with + | O => 1 + | S r => S (essai r (q, m)) + end + end. + +Lemma essai_essai : + forall (x : nat) (p : nat * nat), let (n, m) := p in 0 < n -> 0 < essai x p. +intros x p. + functional induction essai x p; intros. +inversion H. +auto with arith. + auto with arith. +Qed. + +Function plus_x_not_five'' (n m : nat) {struct n} : nat := + let x := nat_equal_bool m 5 in + let y := 0 in + match n with + | O => y + | S q => + let recapp := plus_x_not_five'' q m in + match x with + | true => S recapp + | false => S recapp + end + end. + +Lemma notplusfive'' : forall x y : nat, y = 5 -> plus_x_not_five'' x y = x. +intros a b. + functional induction plus_x_not_five'' a b; intros hyp; simpl; auto. +Qed. + +Lemma iseq_eq : forall n m : nat, n = m -> nat_equal_bool n m = true. +intros n m. + functional induction nat_equal_bool n m; simpl; intros hyp; auto. +rewrite <- hyp in y; simpl in y;tauto. +inversion hyp. +Qed. + +Lemma iseq_eq' : forall n m : nat, nat_equal_bool n m = true -> n = m. +intros n m. + functional induction nat_equal_bool n m; simpl; intros eg; auto. +inversion eg. +inversion eg. +Qed. + + +Inductive istrue : bool -> Prop := + istrue0 : istrue true. + +Functional Scheme add_ind := Induction for add Sort Prop. + +Lemma inf_x_plusxy' : forall x y : nat, x <= x + y. +intros n m. + functional induction add n m; intros. +auto with arith. +auto with arith. +Qed. + + +Lemma inf_x_plusxy'' : forall x : nat, x <= x + 0. +intros n. +unfold plus. + functional induction plus n 0; intros. +auto with arith. +apply le_n_S. +assumption. +Qed. + +Lemma inf_x_plusxy''' : forall x : nat, x <= 0 + x. +intros n. + functional induction plus 0 n; intros; auto with arith. +Qed. + +Function mod2 (n : nat) : nat := + match n with + | O => 0 + | S (S m) => S (mod2 m) + | _ => 0 + end. + +Lemma princ_mod2 : forall n : nat, mod2 n <= n. +intros n. + functional induction mod2 n; simpl; auto with arith. +Qed. + +Function isfour (n : nat) : bool := + match n with + | S (S (S (S O))) => true + | _ => false + end. + +Function isononeorfour (n : nat) : bool := + match n with + | S O => true + | S (S (S (S O))) => true + | _ => false + end. + +Lemma toto'' : forall n : nat, istrue (isfour n) -> istrue (isononeorfour n). +intros n. + functional induction isononeorfour n; intros istr; simpl; + inversion istr. +apply istrue0. +destruct n. inversion istr. +destruct n. tauto. +destruct n. inversion istr. +destruct n. inversion istr. +destruct n. tauto. +simpl in *. inversion H0. +Qed. + +Lemma toto' : forall n m : nat, n = 4 -> istrue (isononeorfour n). +intros n. + functional induction isononeorfour n; intros m istr; inversion istr. +apply istrue0. +rewrite H in y; simpl in y;tauto. +Qed. + +Function ftest4 (n m : nat) : nat := + match n with + | O => match m with + | O => 0 + | S q => 1 + end + | S p => match m with + | O => 0 + | S r => 1 + end + end. + +Lemma test4 : forall n m : nat, ftest n m <= 2. +intros n m. + functional induction ftest n m; auto with arith. +Qed. + +Lemma test4' : forall n m : nat, ftest4 (S n) m <= 2. +intros n m. +assert ({n0 | n0 = S n}). +exists (S n);reflexivity. +destruct H as [n0 H1]. +rewrite <- H1;revert H1. + functional induction ftest4 n0 m. +inversion 1. +inversion 1. + +auto with arith. +auto with arith. +Qed. + +Function ftest44 (x : nat * nat) (n m : nat) : nat := + let (p, q) := (x: nat*nat) in + match n with + | O => match m with + | O => 0 + | S q => 1 + end + | S p => match m with + | O => 0 + | S r => 1 + end + end. + +Lemma test44 : + forall (pq : nat * nat) (n m o r s : nat), ftest44 pq n (S m) <= 2. +intros pq n m o r s. + functional induction ftest44 pq n (S m). +auto with arith. +auto with arith. +auto with arith. +auto with arith. +Qed. + +Function ftest2 (n m : nat) {struct n} : nat := + match n with + | O => match m with + | O => 0 + | S q => 0 + end + | S p => ftest2 p m + end. + +Lemma test2' : forall n m : nat, ftest2 n m <= 2. +intros n m. + functional induction ftest2 n m; simpl; intros; auto. +Qed. + +Function ftest3 (n m : nat) {struct n} : nat := + match n with + | O => 0 + | S p => match m with + | O => ftest3 p 0 + | S r => 0 + end + end. + +Lemma test3' : forall n m : nat, ftest3 n m <= 2. +intros n m. + functional induction ftest3 n m. +intros. +auto. +intros. +auto. +intros. +simpl. +auto. +Qed. + +Function ftest5 (n m : nat) {struct n} : nat := + match n with + | O => 0 + | S p => match m with + | O => ftest5 p 0 + | S r => ftest5 p r + end + end. + +Lemma test5 : forall n m : nat, ftest5 n m <= 2. +intros n m. + functional induction ftest5 n m. +intros. +auto. +intros. +auto. +intros. +simpl. +auto. +Qed. + +Function ftest7 (n : nat) : nat := + match ftest5 n 0 with + | O => 0 + | S r => 0 + end. + +Lemma essai7 : + forall (Hrec : forall n : nat, ftest5 n 0 = 0 -> ftest7 n <= 2) + (Hrec0 : forall n r : nat, ftest5 n 0 = S r -> ftest7 n <= 2) + (n : nat), ftest7 n <= 2. +intros hyp1 hyp2 n. + functional induction ftest7 n; auto. +Qed. + +Function ftest6 (n m : nat) {struct n} : nat := + match n with + | O => 0 + | S p => match ftest5 p 0 with + | O => ftest6 p 0 + | S r => ftest6 p r + end + end. + + +Lemma princ6 : + (forall n m : nat, n = 0 -> ftest6 0 m <= 2) -> + (forall n m p : nat, + ftest6 p 0 <= 2 -> ftest5 p 0 = 0 -> n = S p -> ftest6 (S p) m <= 2) -> + (forall n m p r : nat, + ftest6 p r <= 2 -> ftest5 p 0 = S r -> n = S p -> ftest6 (S p) m <= 2) -> + forall x y : nat, ftest6 x y <= 2. +intros hyp1 hyp2 hyp3 n m. +generalize hyp1 hyp2 hyp3. +clear hyp1 hyp2 hyp3. + functional induction ftest6 n m; auto. +Qed. + +Lemma essai6 : forall n m : nat, ftest6 n m <= 2. +intros n m. + functional induction ftest6 n m; simpl; auto. +Qed. + +(* Some tests with modules *) +Module M. +Function test_m (n:nat) : nat := + match n with + | 0 => 0 + | S n => S (S (test_m n)) + end. + +Lemma test_m_is_double : forall n, div2 (test_m n) = n. +Proof. +intros n. +functional induction (test_m n). +reflexivity. +simpl;rewrite IHn0;reflexivity. +Qed. +End M. +(* We redefine a new Function with the same name *) +Function test_m (n:nat) : nat := + pred n. + +Lemma test_m_is_pred : forall n, test_m n = pred n. +Proof. +intro n. +functional induction (test_m n). (* the test_m_ind to use is the last defined saying that test_m = pred*) +reflexivity. +Qed. + +(* Checks if the dot notation are correctly treated in infos *) +Lemma M_test_m_is_double : forall n, div2 (M.test_m n) = n. +intro n. +(* here we should apply M.test_m_ind *) +functional induction (M.test_m n). +reflexivity. +simpl;rewrite IHn0;reflexivity. +Qed. + +Import M. +(* Now test_m is the one which defines double *) + +Lemma test_m_is_double : forall n, div2 (M.test_m n) = n. +intro n. +(* here we should apply M.test_m_ind *) +functional induction (test_m n). +reflexivity. +simpl;rewrite IHn0;reflexivity. +Qed. + +Extraction iszero. diff --git a/test-suite/success/Hints.v b/test-suite/success/Hints.v index 1abe1477..8d08f597 100644 --- a/test-suite/success/Hints.v +++ b/test-suite/success/Hints.v @@ -37,7 +37,6 @@ Hint Resolve predf | 0 : predconv. Goal exists n, pred n. eexists. - Fail Timeout 1 typeclasses eauto with pred. Set Typeclasses Filtered Unification. Set Typeclasses Debug Verbosity 2. (* predf is not tried as it doesn't match the goal *) @@ -80,8 +79,6 @@ Qed. (** The other way around: goal contains redexes instead of instances *) Goal exists n, pred (0 + n). eexists. - (* predf is applied indefinitely *) - Fail Timeout 1 typeclasses eauto with pred. (* pred0 (pred _) matches the goal *) typeclasses eauto with predconv. Qed. @@ -169,11 +166,20 @@ Instance foo f : E (id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ f ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id ∘ id). Proof. - Fail Timeout 1 apply _. (* 3.7s *) - Hint Cut [_* (a_is_b | b_is_c | c_is_d | d_is_e) (a_compose | b_compose | c_compose | d_compose | e_compose)] : typeclass_instances. Timeout 1 Fail apply _. (* 0.06s *) Abort. End HintCut. + + +(* Check that auto-like tactics do not prefer "eq_refl" over more complex solutions, *) +(* e.g. those tactics when considering a goal with existential varibles *) +(* like "m = ?n" won't pick "plus_n_O" hint over "eq_refl" hint. *) +(* See this Coq club post for more detail: *) +(* https://sympa.inria.fr/sympa/arc/coq-club/2017-12/msg00103.html *) + +Goal forall (m : nat), exists n, m = n /\ m = n. + intros m; eexists; split; [trivial | reflexivity]. +Qed. diff --git a/test-suite/success/ImplicitArguments.v b/test-suite/success/ImplicitArguments.v index f702aa62..921433ca 100644 --- a/test-suite/success/ImplicitArguments.v +++ b/test-suite/success/ImplicitArguments.v @@ -21,3 +21,14 @@ Fixpoint app {A : Type} {n m : nat} (v : vector A n) (w : vector A m) : vector A (* Test sharing information between different hypotheses *) Parameters (a:_) (b:a=0). + +(* These examples were failing due to a lifting wrongly taking let-in into account *) + +Definition foo6 (x:=1) : forall {n:nat}, n=n := fun n => eq_refl. + +Fixpoint foo7 (x:=1) (n:nat) {p:nat} {struct n} : nat. + +(* Some example which should succeed with local implicit arguments *) + +Inductive A {P:forall m {n}, n=m -> Prop} := C : P 0 eq_refl -> A. +Inductive B (P:forall m {n}, n=m -> Prop) := D : P 0 eq_refl -> B P. diff --git a/test-suite/success/Inductive.v b/test-suite/success/Inductive.v index f746def5..5b1482fd 100644 --- a/test-suite/success/Inductive.v +++ b/test-suite/success/Inductive.v @@ -64,7 +64,7 @@ Check (fun x:I1 => end). (* Check implicit parameters of inductive types (submitted by Pierre - Casteran and also implicit in #338) *) + Casteran and also implicit in BZ#338) *) Set Implicit Arguments. Unset Strict Implicit. @@ -80,7 +80,7 @@ Inductive Finite (A : Set) : LList A -> Prop := | Finite_LCons : forall (a : A) (l : LList A), Finite l -> Finite (LCons a l). -(* Check positivity modulo reduction (cf bug #983) *) +(* Check positivity modulo reduction (cf bug BZ#983) *) Record P:Type := {PA:Set; PB:Set}. @@ -183,3 +183,26 @@ Module PolyNoLowerProp. Fail Check Foo True : Prop. End PolyNoLowerProp. + +(* Test building of elimination scheme with noth let-ins and + non-recursively uniform parameters *) + +Module NonRecLetIn. + + Unset Implicit Arguments. + + Inductive Ind (b:=2) (a:nat) (c:=1) : Type := + | Base : Ind a + | Rec : Ind (S a) -> Ind a. + + Check Ind_rect (fun n (b:Ind n) => b = b) + (fun n => eq_refl) + (fun n b c => f_equal (Rec n) eq_refl) 0 (Rec 0 (Base 1)). + +End NonRecLetIn. + +(* Test treatment of let-in in the definition of Records *) +(* Should fail with "Sort expected" *) + +Fail Inductive foo (T : Type) : let T := Type in T := + { r : forall x : T, x = x }. diff --git a/test-suite/success/Injection.v b/test-suite/success/Injection.v index da218384..78652fb6 100644 --- a/test-suite/success/Injection.v +++ b/test-suite/success/Injection.v @@ -150,6 +150,13 @@ match goal with end. Abort. +(* Injection in the presence of local definitions *) +Inductive A := B (T := unit) (x y : bool) (z := x). +Goal forall x y x' y', B x y = B x' y' -> y = y'. +intros * [= H1 H2]. +exact H2. +Qed. + (* Injection does not project at positions in Prop... allow it? Inductive t (A:Prop) : Set := c : A -> t A. diff --git a/test-suite/success/Inversion.v b/test-suite/success/Inversion.v index 850f0943..45c71615 100644 --- a/test-suite/success/Inversion.v +++ b/test-suite/success/Inversion.v @@ -1,6 +1,6 @@ Axiom magic : False. -(* Submitted by Dachuan Yu (bug #220) *) +(* Submitted by Dachuan Yu (BZ#220) *) Fixpoint T (n : nat) : Type := match n with | O => nat -> Prop @@ -16,7 +16,7 @@ Lemma Inversion_RO : forall l : nat, R 0 Psi0 l -> Psi00 l. inversion 1. Abort. -(* Submitted by Pierre Casteran (bug #540) *) +(* Submitted by Pierre Casteran (BZ#540) *) Set Implicit Arguments. Unset Strict Implicit. @@ -64,7 +64,7 @@ elim magic. elim magic. Qed. -(* Submitted by Boris Yakobowski (bug #529) *) +(* Submitted by Boris Yakobowski (BZ#529) *) (* Check that Inversion does not fail due to unnormalized evars *) Set Implicit Arguments. @@ -100,7 +100,7 @@ intros a b H. inversion H. Abort. -(* Check non-regression of bug #1968 *) +(* Check non-regression of BZ#1968 *) Inductive foo2 : option nat -> Prop := Foo : forall t, foo2 (Some t). Goal forall o, foo2 o -> 0 = 1. @@ -130,7 +130,7 @@ Proof. intros. inversion H. Abort. -(* Bug #2314 (simplified): check that errors do not show as anomalies *) +(* BZ#2314 (simplified): check that errors do not show as anomalies *) Goal True -> True. intro. @@ -158,7 +158,7 @@ reflexivity. Qed. (* Up to September 2014, Mapp below was called MApp0 because of a bug - in intro_replacing (short version of bug 2164.v) + in intro_replacing (short version of BZ#2164.v) (example taken from CoLoR) *) Parameter Term : Type. diff --git a/test-suite/success/InversionSigma.v b/test-suite/success/InversionSigma.v new file mode 100644 index 00000000..51f33c7c --- /dev/null +++ b/test-suite/success/InversionSigma.v @@ -0,0 +1,40 @@ +Section inversion_sigma. + Local Unset Implicit Arguments. + Context A (B : A -> Prop) (C C' : forall a, B a -> Prop) + (D : forall a b, C a b -> Prop) (E : forall a b c, D a b c -> Prop). + + (* Require that, after destructing sigma types and inverting + equalities, we can subst equalities of variables only, and reduce + down to [eq_refl = eq_refl]. *) + Local Ltac test_inversion_sigma := + intros; + repeat match goal with + | [ H : sig _ |- _ ] => destruct H + | [ H : sigT _ |- _ ] => destruct H + | [ H : sig2 _ _ |- _ ] => destruct H + | [ H : sigT2 _ _ |- _ ] => destruct H + end; simpl in *; + inversion_sigma; + repeat match goal with + | [ H : ?x = ?y |- _ ] => is_var x; is_var y; subst x; simpl in * + end; + match goal with + | [ |- eq_refl = eq_refl ] => reflexivity + end. + + Goal forall (x y : { a : A & { b : { b : B a & C a b } & { d : D a (projT1 b) (projT2 b) & E _ _ _ d } } }) + (p : x = y), p = p. + Proof. test_inversion_sigma. Qed. + + Goal forall (x y : { a : A | { b : { b : B a | C a b } | { d : D a (proj1_sig b) (proj2_sig b) | E _ _ _ d } } }) + (p : x = y), p = p. + Proof. test_inversion_sigma. Qed. + + Goal forall (x y : { a : { a : A & B a } & C _ (projT2 a) & C' _ (projT2 a) }) + (p : x = y), p = p. + Proof. test_inversion_sigma. Qed. + + Goal forall (x y : { a : { a : A & B a } | C _ (projT2 a) & C' _ (projT2 a) }) + (p : x = y), p = p. + Proof. test_inversion_sigma. Qed. +End inversion_sigma. diff --git a/test-suite/success/Mod_type.v b/test-suite/success/Mod_type.v index d5e1a38c..6c59bf6e 100644 --- a/test-suite/success/Mod_type.v +++ b/test-suite/success/Mod_type.v @@ -1,4 +1,4 @@ -(* Check bug #1025 submitted by Pierre-Luc Carmel Biron *) +(* Check BZ#1025 submitted by Pierre-Luc Carmel Biron *) Module Type FOO. Parameter A : Type. @@ -18,7 +18,7 @@ Module Bar : BAR. End Bar. -(* Check bug #2809: correct printing of modules with notations *) +(* Check BZ#2809: correct printing of modules with notations *) Module C. Inductive test : Type := diff --git a/test-suite/success/Notations.v b/test-suite/success/Notations.v index 07bbb60c..3c0ad207 100644 --- a/test-suite/success/Notations.v +++ b/test-suite/success/Notations.v @@ -1,5 +1,5 @@ (* Check that "where" clause behaves as if given independently of the *) -(* definition (variant of bug #1132 submitted by Assia Mahboubi) *) +(* definition (variant of BZ#1132 submitted by Assia Mahboubi) *) Fixpoint plus1 (n m:nat) {struct n} : nat := match n with @@ -121,6 +121,7 @@ Notation " |- {{ a }} b" := (a=b) (no associativity, at level 10). Goal True. {{ exact I. }} Qed. + Check |- {{ 0 }} 0. (* Check parsing of { and } is not affected by notations #3479 *) @@ -128,3 +129,27 @@ Notation " |- {{ a }} b" := (a=b) (no associativity, at level 10). Goal True. {{ exact I. }} Qed. + +(* Check that we can have notations without any symbol iff they are "only printing". *) +Fail Notation "" := (@nil). +Notation "" := (@nil) (only printing). + +(* Check that a notation cannot be neither parsing nor printing. *) +Fail Notation "'foobarkeyword'" := (@nil) (only parsing, only printing). + +(* Check "where" clause for inductive types with parameters *) + +Reserved Notation "x === y" (at level 50). +Inductive EQ {A} (x:A) : A -> Prop := REFL : x === x + where "x === y" := (EQ x y). + +(* Check that strictly ident or _ are coerced to a name *) + +Fail Check {x@{u},y|x=x}. +Fail Check {?[n],y|0=0}. + +(* Check that 10 is well declared left associative *) + +Section C. +Notation "f $$$ x" := (id f x) (at level 10, left associativity). +End C. diff --git a/test-suite/success/Notations2.v b/test-suite/success/Notations2.v index 9505a56e..7c2cf3ee 100644 --- a/test-suite/success/Notations2.v +++ b/test-suite/success/Notations2.v @@ -90,3 +90,39 @@ Check fun A (x :prod' bool A) => match x with #### 0 y 0 => 2 | _ => 1 end. Notation "##### x" := (pair' x) (at level 0, x at level 1). Check ##### 0 _ 0%bool 0%bool : prod' bool bool. Check fun A (x :prod' bool A) => match x with ##### 0 _ y 0%bool => 2 | _ => 1 end. + +(* 10. Check computation of binding variable through other notations *) +(* it should be detected as binding variable and the scopes not being checked *) +Notation "'FUNNAT' i => t" := (fun i : nat => i = t) (at level 200). +Notation "'Funnat' i => t" := (FUNNAT i => t + i%nat) (at level 200). + +(* 11. Notations with needed factorization of a recursive pattern *) +(* See https://github.com/coq/coq/issues/6078#issuecomment-342287412 *) +Module M11. +Notation "[:: x1 ; .. ; xn & s ]" := (cons x1 .. (cons xn s) ..). +Notation "[:: x1 ; .. ; xn ]" := (cons x1 .. (cons xn nil) ..). +Check [:: 1 ; 2 ; 3 ]. +Check [:: 1 ; 2 ; 3 & nil ]. (* was failing *) +End M11. + +(* 12. Preventively check that a variable which does not occur can be instantiated *) +(* by any term. In particular, it should not be restricted to a binder *) +Module M12. +Notation "N ++ x" := (S x) (only parsing). +Check 2 ++ 0. +End M12. + +(* 13. Check that internal data about associativity are not used in comparing levels *) +Module M13. +Notation "x ;; z" := (x + z) + (at level 100, z at level 200, only parsing, right associativity). +Notation "x ;; z" := (x * z) + (at level 100, z at level 200, only parsing) : foo_scope. +End M13. + +(* 14. Check that a notation with a "ident" binder does not include a pattern *) +Module M14. +Notation "'myexists' x , p" := (ex (fun x => p)) + (at level 200, x ident, p at level 200, right associativity) : type_scope. +Check myexists I, I = 0. (* Should not be seen as a constructor *) +End M14. diff --git a/test-suite/success/NumberScopes.v b/test-suite/success/NumberScopes.v index 6d787210..15586374 100644 --- a/test-suite/success/NumberScopes.v +++ b/test-suite/success/NumberScopes.v @@ -39,24 +39,3 @@ Definition f_nat (x:nat) := x. Definition f_nat' (x:Nat.t) := x. Check (f_nat 1). Check (f_nat' 1). - -Require Import BigN. -Check (BigN.add 1 2). -Check (BigN.add_comm 1 2). -Check (BigN.min_comm 1 2). -Definition f_bigN (x:bigN) := x. -Check (f_bigN 1). - -Require Import BigZ. -Check (BigZ.add 1 2). -Check (BigZ.add_comm 1 2). -Check (BigZ.min_comm 1 2). -Definition f_bigZ (x:bigZ) := x. -Check (f_bigZ 1). - -Require Import BigQ. -Check (BigQ.add 1 2). -Check (BigQ.add_comm 1 2). -Check (BigQ.min_comm 1 2). -Definition f_bigQ (x:bigQ) := x. -Check (f_bigQ 1).
\ No newline at end of file diff --git a/test-suite/success/Omega.v b/test-suite/success/Omega.v index ecbf04e4..470e4f05 100644 --- a/test-suite/success/Omega.v +++ b/test-suite/success/Omega.v @@ -52,7 +52,7 @@ Lemma lem5 : (H > 0)%Z. Qed. End B. -(* From Nicolas Oury (bug #180): handling -> on Set (fixed Oct 2002) *) +(* From Nicolas Oury (BZ#180): handling -> on Set (fixed Oct 2002) *) Lemma lem6 : forall (A : Set) (i : Z), (i <= 0)%Z -> ((i <= 0)%Z -> A) -> (i <= 0)%Z. intros. @@ -86,7 +86,7 @@ intros; omega. Qed. (* Check that the interpretation of mult on nat enforces its positivity *) -(* Submitted by Hubert Thierry (bug #743) *) +(* Submitted by Hubert Thierry (BZ#743) *) (* Postponed... problem with goals of the form "(n*m=0)%nat -> (n*m=0)%Z" *) Lemma lem10 : forall n m:nat, le n (plus n (mult n m)). Proof. diff --git a/test-suite/success/Omega0.v b/test-suite/success/Omega0.v index b8f8660e..6fd93693 100644 --- a/test-suite/success/Omega0.v +++ b/test-suite/success/Omega0.v @@ -132,7 +132,7 @@ intros. omega. Qed. -(* Magaud #240 *) +(* Magaud BZ#240 *) Lemma test_romega_8 : forall x y:Z, x*x<y*y-> ~ y*y <= x*x. intros. diff --git a/test-suite/success/Omega2.v b/test-suite/success/Omega2.v index c4d086a3..4e726335 100644 --- a/test-suite/success/Omega2.v +++ b/test-suite/success/Omega2.v @@ -1,6 +1,6 @@ Require Import ZArith Omega. -(* Submitted by Yegor Bryukhov (#922) *) +(* Submitted by Yegor Bryukhov (BZ#922) *) Open Scope Z_scope. diff --git a/test-suite/success/ProgramWf.v b/test-suite/success/ProgramWf.v index 681c4716..85d7a770 100644 --- a/test-suite/success/ProgramWf.v +++ b/test-suite/success/ProgramWf.v @@ -102,4 +102,4 @@ Qed. Program Fixpoint check_n' (n : nat) (m : {m:nat | m = n}) (p : nat) (q:{q : nat | q = p}) {measure (p - n) p} : nat := - _.
\ No newline at end of file + _. diff --git a/test-suite/success/ROmega.v b/test-suite/success/ROmega.v index 801ece9e..0df3d568 100644 --- a/test-suite/success/ROmega.v +++ b/test-suite/success/ROmega.v @@ -52,7 +52,7 @@ Lemma lem5 : (H > 0)%Z. Qed. End B. -(* From Nicolas Oury (bug #180): handling -> on Set (fixed Oct 2002) *) +(* From Nicolas Oury (BZ#180): handling -> on Set (fixed Oct 2002) *) Lemma lem6 : forall (A : Set) (i : Z), (i <= 0)%Z -> ((i <= 0)%Z -> A) -> (i <= 0)%Z. intros. @@ -88,7 +88,7 @@ romega with nat. Qed. (* Check that the interpretation of mult on nat enforces its positivity *) -(* Submitted by Hubert Thierry (bug #743) *) +(* Submitted by Hubert Thierry (BZ#743) *) (* Postponed... problem with goals of the form "(n*m=0)%nat -> (n*m=0)%Z" *) Lemma lem10 : forall n m : nat, le n (plus n (mult n m)). Proof. diff --git a/test-suite/success/ROmega0.v b/test-suite/success/ROmega0.v index 1348bb62..3ddf6a40 100644 --- a/test-suite/success/ROmega0.v +++ b/test-suite/success/ROmega0.v @@ -132,21 +132,37 @@ intros. romega. Qed. -(* Magaud #240 *) +(* Magaud BZ#240 *) Lemma test_romega_8 : forall x y:Z, x*x<y*y-> ~ y*y <= x*x. +Proof. intros. romega. Qed. Lemma test_romega_8b : forall x y:Z, x*x<y*y-> ~ y*y <= x*x. +Proof. intros x y. romega. Qed. -(* Besson #1298 *) +(* Besson BZ#1298 *) Lemma test_romega9 : forall z z':Z, z<>z' -> z'=z -> False. +Proof. intros. romega. Qed. + +(* Letouzey, May 2017 *) + +Lemma test_romega10 : forall x a a' b b', + a' <= b -> + a <= b' -> + b < b' -> + a < a' -> + a <= x < b' <-> a <= x < b \/ a' <= x < b'. +Proof. + intros. + romega. +Qed. diff --git a/test-suite/success/ROmega2.v b/test-suite/success/ROmega2.v index 87e8c8e3..43eda67e 100644 --- a/test-suite/success/ROmega2.v +++ b/test-suite/success/ROmega2.v @@ -1,6 +1,6 @@ Require Import ZArith ROmega. -(* Submitted by Yegor Bryukhov (#922) *) +(* Submitted by Yegor Bryukhov (BZ#922) *) Open Scope Z_scope. diff --git a/test-suite/success/ROmega3.v b/test-suite/success/ROmega3.v new file mode 100644 index 00000000..fd4ff260 --- /dev/null +++ b/test-suite/success/ROmega3.v @@ -0,0 +1,31 @@ + +Require Import ZArith ROmega. +Local Open Scope Z_scope. + +(** Benchmark provided by Chantal Keller, that romega used to + solve far too slowly (compared to omega or lia). *) + +Parameter v4 : Z. +Parameter v3 : Z. +Parameter o4 : Z. +Parameter s5 : Z. +Parameter v2 : Z. +Parameter o5 : Z. +Parameter s6 : Z. +Parameter v1 : Z. +Parameter o6 : Z. +Parameter s7 : Z. +Parameter v0 : Z. +Parameter o7 : Z. + +Lemma lemma_5833 : + ~ 16 * v4 + (8 * v3 + (-8192 * o4 + (-4096 * s5 + (4 * v2 + + (-4096 * o5 + (-2048 * s6 + (2 * v1 + (-2048 * o6 + + (-1024 * s7 + (v0 + -1024 * o7)))))))))) >= 8192 +\/ + 16 * v4 + (8 * v3 + (-8192 * o4 + (-4096 * s5 + (4 * v2 + + (-4096 * o5 + (-2048 * s6 + (2 * v1 + (-2048 * o6 + + (-1024 * s7 + (v0 + -1024 * o7)))))))))) >= 1024. +Proof. +Timeout 1 romega. (* should take a few milliseconds, not seconds *) +Timeout 1 Qed. (* ditto *) diff --git a/test-suite/success/ROmega4.v b/test-suite/success/ROmega4.v new file mode 100644 index 00000000..58ae5b8f --- /dev/null +++ b/test-suite/success/ROmega4.v @@ -0,0 +1,26 @@ +(** ROmega is now aware of the bodies of context variables + (of type Z or nat). + See also #148 for the corresponding improvement in Omega. +*) + +Require Import ZArith ROmega. +Open Scope Z. + +Goal let x := 3 in x = 3. +intros. +romega. +Qed. + +(** Example seen in #4132 + (actually solvable even if b isn't known to be 5) *) + +Lemma foo + (x y x' zxy zxy' z : Z) + (b := 5) + (Ry : - b <= y < b) + (Bx : x' <= b) + (H : - zxy' <= zxy) + (H' : zxy' <= x') : - b <= zxy. +Proof. +romega. +Qed. diff --git a/test-suite/success/RecTutorial.v b/test-suite/success/RecTutorial.v index d8f80424..84194049 100644 --- a/test-suite/success/RecTutorial.v +++ b/test-suite/success/RecTutorial.v @@ -147,6 +147,7 @@ Proof. intros; absurd (p < p); eauto with arith. Qed. +Require Coq.extraction.Extraction. Extraction max. diff --git a/test-suite/success/Record.v b/test-suite/success/Record.v index 8334322c..6f27c1d3 100644 --- a/test-suite/success/Record.v +++ b/test-suite/success/Record.v @@ -87,3 +87,8 @@ Record R : Type := { P (A : Type) : Prop := exists x : A -> A, x = x; Q A : P A -> P A }. + +(* We allow reusing an implicit parameter named in non-recursive types *) +(* This is used in a couple of development such as UniMatch *) + +Record S {A:Type} := { a : A; b : forall A:Type, A }. diff --git a/test-suite/success/Rename.v b/test-suite/success/Rename.v index 0576f3c6..2789c6c9 100644 --- a/test-suite/success/Rename.v +++ b/test-suite/success/Rename.v @@ -4,7 +4,7 @@ rename n into p. induction p; auto. Qed. -(* Submitted by Iris Loeb (#842) *) +(* Submitted by Iris Loeb (BZ#842) *) Section rename. diff --git a/test-suite/success/Scheme.v b/test-suite/success/Scheme.v index dd5aa81d..855f2669 100644 --- a/test-suite/success/Scheme.v +++ b/test-suite/success/Scheme.v @@ -2,3 +2,26 @@ Scheme Induction for eq Sort Prop. Check eq_ind_dep. + +(* This was broken in v8.5 *) + +Set Rewriting Schemes. +Inductive myeq A (a:A) : A -> Prop := myrefl : myeq A a a. +Unset Rewriting Schemes. + +Check myeq_rect. +Check myeq_ind. +Check myeq_rec. +Check myeq_congr. +Check myeq_sym_internal. +Check myeq_rew. +Check myeq_rew_dep. +Check myeq_rew_fwd_dep. +Check myeq_rew_r. +Check internal_myeq_sym_involutive. +Check myeq_rew_r_dep. +Check myeq_rew_fwd_r_dep. + +Set Rewriting Schemes. +Inductive myeq_true : bool -> Prop := myrefl_true : myeq_true true. +Unset Rewriting Schemes. diff --git a/test-suite/success/Scopes.v b/test-suite/success/Scopes.v index 43e3493c..ca374671 100644 --- a/test-suite/success/Scopes.v +++ b/test-suite/success/Scopes.v @@ -20,3 +20,9 @@ Inductive U := A. Bind Scope u with U. Notation "'ε'" := A : u. Definition c := ε : U. + +(* Check activation of type scope for tactics such as assert *) + +Goal True. +assert (nat * nat). + diff --git a/test-suite/success/ShowExtraction.v b/test-suite/success/ShowExtraction.v new file mode 100644 index 00000000..a4a35003 --- /dev/null +++ b/test-suite/success/ShowExtraction.v @@ -0,0 +1,31 @@ + +Require Extraction. +Require Import List. + +Section Test. +Variable A : Type. +Variable decA : forall (x y:A), {x=y}+{x<>y}. + +(** Should fail when no proofs are started *) +Fail Show Extraction. + +Lemma decListA : forall (xs ys : list A), {xs=ys}+{xs<>ys}. +Proof. +Show Extraction. +fix decListA 1. +destruct xs as [|x xs], ys as [|y ys]. +Show Extraction. +- now left. +- now right. +- now right. +- Show Extraction. + destruct (decA x y). + + destruct (decListA xs ys). + * left; now f_equal. + * Show Extraction. + right. congruence. + + right. congruence. +Show Extraction. +Defined. + +End Test. diff --git a/test-suite/success/Tauto.v b/test-suite/success/Tauto.v index 767f15be..7d01d3b0 100644 --- a/test-suite/success/Tauto.v +++ b/test-suite/success/Tauto.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (**** Tactics Tauto and Intuition ****) diff --git a/test-suite/success/TestRefine.v b/test-suite/success/TestRefine.v index 023cb5f5..f1683078 100644 --- a/test-suite/success/TestRefine.v +++ b/test-suite/success/TestRefine.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (************************************************************************) diff --git a/test-suite/success/Try.v b/test-suite/success/Try.v index 361c787e..76aac39a 100644 --- a/test-suite/success/Try.v +++ b/test-suite/success/Try.v @@ -1,5 +1,5 @@ (* To shorten interactive scripts, it is better that Try catches - non-existent names in Unfold [cf bug #263] *) + non-existent names in Unfold [cf BZ#263] *) Lemma lem1 : True. try unfold i_dont_exist. diff --git a/test-suite/success/Typeclasses.v b/test-suite/success/Typeclasses.v index 6b1f0315..cd6eac35 100644 --- a/test-suite/success/Typeclasses.v +++ b/test-suite/success/Typeclasses.v @@ -240,3 +240,20 @@ Module IterativeDeepening. Qed. End IterativeDeepening. + +Module AxiomsAreInstances. + Set Typeclasses Axioms Are Instances. + Class TestClass1 := {}. + Axiom testax1 : TestClass1. + Definition testdef1 : TestClass1 := _. + + Unset Typeclasses Axioms Are Instances. + Class TestClass2 := {}. + Axiom testax2 : TestClass2. + Fail Definition testdef2 : TestClass2 := _. + + (* we didn't break typeclasses *) + Existing Instance testax2. + Definition testdef2 : TestClass2 := _. + +End AxiomsAreInstances. diff --git a/test-suite/success/abstract_chain.v b/test-suite/success/abstract_chain.v new file mode 100644 index 00000000..0ff61e87 --- /dev/null +++ b/test-suite/success/abstract_chain.v @@ -0,0 +1,43 @@ +Lemma foo1 : nat -> True. +Proof. +intros _. +assert (H : True -> True). +{ abstract (exact (fun x => x)) using bar. } +assert (H' : True). +{ abstract (exact (bar I)) using qux. } +exact H'. +Qed. + +Lemma foo2 : True. +Proof. +assert (H : True -> True). +{ abstract (exact (fun x => x)) using bar. } +assert (H' : True). +{ abstract (exact (bar I)) using qux. } +assert (H'' : True). +{ abstract (exact (bar qux)) using quz. } +exact H''. +Qed. + +Set Universe Polymorphism. + +Lemma foo3 : nat -> True. +Proof. +intros _. +assert (H : True -> True). +{ abstract (exact (fun x => x)) using bar. } +assert (H' : True). +{ abstract (exact (bar I)) using qux. } +exact H'. +Qed. + +Lemma foo4 : True. +Proof. +assert (H : True -> True). +{ abstract (exact (fun x => x)) using bar. } +assert (H' : True). +{ abstract (exact (bar I)) using qux. } +assert (H'' : True). +{ abstract (exact (bar qux)) using quz. } +exact H''. +Qed. diff --git a/test-suite/success/abstract_poly.v b/test-suite/success/abstract_poly.v new file mode 100644 index 00000000..aa8da533 --- /dev/null +++ b/test-suite/success/abstract_poly.v @@ -0,0 +1,20 @@ +Set Universe Polymorphism. + +Inductive path@{i} {A : Type@{i}} (x : A) : A -> Type@{i} := refl : path x x. +Inductive unit@{i} : Type@{i} := tt. + +Lemma foo@{i j} : forall (m n : unit@{i}) (P : unit -> Type@{j}), path m n -> P m -> P n. +Proof. +intros m n P e p. +abstract (rewrite e in p; exact p). +Defined. + +Check foo_subproof@{Set Set}. + +Lemma bar : forall (m n : unit) (P : unit -> Type), path m n -> P m -> P n. +Proof. +intros m n P e p. +abstract (rewrite e in p; exact p). +Defined. + +Check bar_subproof@{Set Set}. diff --git a/test-suite/success/all-check.v b/test-suite/success/all-check.v new file mode 100644 index 00000000..391bc540 --- /dev/null +++ b/test-suite/success/all-check.v @@ -0,0 +1,3 @@ +Goal True. +Fail all:Check _. +Abort. diff --git a/test-suite/success/bigQ.v b/test-suite/success/bigQ.v deleted file mode 100644 index 7fd0cf66..00000000 --- a/test-suite/success/bigQ.v +++ /dev/null @@ -1,66 +0,0 @@ -Require Import BigQ. -Import List. - -Definition pi_4_approx_low' := -(5066193963420194617885108698600649932059391557720145469382602092416947640628637390992675949693715109726079394291478795603894419483819297806310615866892414925850691415582239745615128821983865262221858109336884967754871321668348027076234335167119885298878199925731495390387858629042311908406056230882123787019283378509712244687397013657159455607193734144010901984756727174636853404278421831024545476850410085042498464474261035780891759930905778986584183710930670670301831474144997069400304290351567959717683444430666444319233768399342338059169002790777424962570605618705584660815518973602995097110557181643034682308210782171804373210646804613922337450953858508244032293753591878060539465788294318856859293281629951093130167801471787011911886414492513677892193100809508943832528344473873460853362957387889412799458784754514139679847887887544849825173792522272708046699681079289358082661375778523609867456540595586031625044964543428047238934233579184772793670436643502740076366994465457847106782560289782615794595755672643440040123002018908935362541166831619056664637901929131328502017686713274283777724453661234225382109584471950444925886358166551424008707439387934109226545596919797083495958300914344992836193126080289565652575543234385558967555959267746932292860747199382633363026440008828134867747920263181610216905129926037611247017868033961426567047355301676870662406173724238530061264149506666345040372864118731705584795947926329181826992456072045382170981478151356381437136818835196834068650217794381425547036331194595892801393225038235274901050364737353586927051766717037643833477566087835266968086513005761986678747515870298138062157791066648217784877968385924845017637219384732843791052551854695220023477365706464590594542001161575677402761543188277502092362285265847964496740584911576627239093631932307473445797386335961743298553548881544486940399236133577915988716682746485564575640818803540680574730591500432326858763829791848612343662539095316357052823005419355719381626599487868023399182174939253393897549026675976384326749445831606130546375395770778462506203752920470130305293966478109733954117063941901686840180727195741528561335809865193566993349413786715403053579411364371500063193205131503024022217701373077790337150298315820556080596579100618643147698304927957576213733526923182742441048553793831725592624850721293495085399785588171300815789795594858916409701139277050529011775828846362873246196866089783324522718656445008090114701320562608474099248873638488023114015981013142490827777895317580810590743940417298263300561876701828404744082864248409230009391001735746615476377303707782123483770118391136826609366946585715225248587168403619476143657107412319421501162805102723455593551478028055839072686207007765300258935153546418515706362733656094770289090398825190320430416955807878686642673124733998295439657633866090085982598765253268688814792672416195730086607425842181518560588819896560847103627615434844684536463752986969865794019299978956052589825441828842338163389851892617560591840546654410705167593310272272965900821031821380595084783691324416454359888103920904935692840264474003367023256964191100139001239923263691779167792867186165635514824889759796850863175082506408142175595463676408992027105356481220754473245821534527625758942093801142305560662681150069082553674495761075895588095760081401141419460482860852822686860785424514171214889677926763812031823537071721974799922995763666175738785000806081164280471363125324839717808977470218218571800106898347366938927189989988149888641129263448064762730769285877330997355234347773807099829665997515649429224335217107760728789764718885665291038706425454675746218345291274054088843647602239258308472486102933167465443294268551209015027897159307743987020521392788721231001835675584104894174434637260464035122611721657641428625505184886116917149318963070896162119215386541876236027342810162765609201440423207771441367926085768438143507025739041041240810056881304230519058117534418374553879198061289605354335880794397478047346975609179199801003098836622253165101961484972165230151495472006888128587168049198312469715081555662345452800468933420359802645393289853553618279788400476187713990872203669487294118461245455333004125835663010526985716431187034663870796866708678078952110615910196519835267441831874676895301527286826106517027821074816850326548617513767142627360001181210946100011774672126943957522004190414960909074050454565964857276407084991922274068961845339154089866785707764290964299529444616711194034827611771558783466230353209661849406004241580029437779784290315347968833708422223285859451369907260780956405036020581705441364379616715041818815829810906212826084485200785283123265202151252852134381195424724503189247411069117189489985791487434549080447866370484866697404176437230771558469231403088139693477706784802801265075586678597768511791952562627345622499328 - # 100788726492580594349650258277496659410917619472657560321971265983799894639441017438166498752997098978003489632843381325240982516059309714013145358125224597827602157516585886911710102182473475545864474089191789296685473601331678556438310133356793199956062857423397512495293688453655805536015029176541424005214818033707522950635262669828538132795615008381824067071229426026518897202246241637377064076189277685257166926338187911595052586669184297526234794666364657344206795357967279911782849686515024121916258300642000317525374433525235296287037535618423661645124459323811792936193272341688261801253469089129439519903538495370298752436267926761998785090092411372633429302950606054074205533246665546979112178855223925266166034953000200646676762301817000435641690517142795144469005596172113586738287118865058604922865654348297975054956781513943444060257230946224520058527667925776273088622386666860662470481606622952298649177217986593047495967209669116410592230626047083795555559776477430548946990993890380787911273437967786556742804566652408275798339221179283430482118140020742719695900657696142739101628984271513292954605191778803974738871043737934546460016184719168074062912083778327025499841998124431899131874519812228674255796948879306477894924710085384116453080236862135706628989104070747737689294987000148388110561753028594988959655591699155508380909698460304884908709246116411180876105681720036833487450945730831039969246996849503525429840196651386469599438064049723005123629385485140945945416764414133189625489032807860400751723995946290581976152580477047961138617997133510128194027510895265424780627975864980749945631413855375897945293107842908479797077570371447220506451229526132919408351287454305932886749170523056147842439813407002950370505941417426433452282518739345666494683448699945734453214481915512562995906034771246088038719298959180199052759295868161570318718927430655393250250811804905393113074074574608255523847592006804881016594060188745212933427473833239777228852952217878690668413947367586040297784502192683200664398064682201012931468052982448022330449955215606614483165425935154496289535573901139223034819824408001205784146243892228030383941863746839845526558421740316887532141893650230936137269356278754487130882868595412163277284772124736531380334814212708066069618080153747333573454834500999083737284449542481264971030785043701582134343596645346132964567391370300568578875509971483039720438955919863275044932311289587494336123538202079503922025306586828117649623642521324286648529829664567232756108169459356549144779085080036654897525078792273443307070502103724611233768453196294899770515940520895908289018412144327894912660060761908970811602375085884115384049610753387776858733798341463052471017393165656926510611173543365663267563198760597092606598728110197523695339144204179424646442294307593146446562536865057987897899655645968129515654148044008249646703504419478535298270862753806142083172190778193001810574370442181909146645889199829207284871551220439225371051511970054965951914399901815408791418836185742573331879114400013259342896515702942707292473805188905427717363630137869116872433627556880809120353079342030725196065815470427569172350436988386579444534375353968759750750178342190349607711313840613843718547859929387259163285524671855725511880656411741012446023392964655239624520090988149679656514996202498334816938716757663800773997302639681907686195671083505910700098597156238624351157219093280177066146218516478636356056420098245995113668018177690728654922707281126889313941750547830163078886329630807850633273613622550216189245162735650139455042125252043274668279981753287687674520319519360593091620297805736177366738063651905396783336064579717230286821545930579779462534206093794040878198825916141099864730374109311705285661056855668930671948265232862757146615431791375559792290479316263924560826544387396762768331402198937951439504767950821089741987629257538953417586416459087855138539304027013800937360598578194413362672871055543854633921502486683911956250444582746421552178164852341035733290405311280719066037175324627429434912416361334254696649419037348733709488576582107382055914938194078813926926742828297826939120316120573453588052056773875836843924877773978390546387248009519202370375478981843515393806263037580338009594022254079586380520797699651840576286033587273591899639699077044271208886940540056794360292760863657703246410020854088849880453524038877935317875884698324859548991680533307680053872403383516589028793015681082435908524045497475001609824047204954932626536311826911363867426654549346914317405110707189532251727848751560224936842128628673253616256326013555922159336370177663785738170802777550686079119049748734352584409583136667752555307842739679930698964098088960000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)%bigQ -. - -Definition pi_4_approx_high' := -(5066193963420194617885108698600649932059391557720145469382602092416947640628637390992675949693715109726079394291478795603894419483819297806310615866892414925850691415582239745615128821983865262221858109336884967754871321668348027076234335167119885298878199925731495390387858629042311908406056230882123787019283378509712244687397013657159455607193734144010901984756727174636853404278421831024545476850410085042498464474261035780891759930905778986584183710930670670301831474144997069400304290351567959717683444430666444319233768399342338059169002790777424962570605618705584660815518973602995097110557181643034682308210788409308322071457087096445676662503017187903223859814905546579050729173916234740628466315449085686468204847296426235788544874405450791749423436215032927889914519102361378633666267941326393265376660400091389373564825046526561381561278586121772300141564909333667988204680492088607706214346458601842899721615765319505314310192693665547163360402786722105590252780194994950097926184146718893770363322073641336811404180286358079915338791029818581497746089864894356686643882883410392601500048021013346713450539807687779704798018559373507951388092945938366448668853081682176581336156031434604604833692503597621519809826880683536141897075567053733515342478008373282599947520770191238802249392773327261328133194484586433840861730959791563023761306622956165536481335792721379318928171897265310054788931201902441066997927781894934061720760080768154565282051604447333036111267534150649674590201404453202347064545359869105856798745664471694795576801148562495225166002814304124970965817043547048503388910163287916513427409193998045119986267987892522931703487420953769290650229176116308194977201080691718825944370436642709192983358059711255925052564016519597530235976618244111239816418652282585432539731271068892992142956810775762851238126881225206289553948196520384709574383566733478326330112084307565420647201107231840508040019131253750047046446929758911912155202166566751947087545292626353331520202690130850009389387290465497377022080531269511355734944672010542204118978272180881335465227900174033380001851066811103401787656367819132934758616060307366679580043123632565656840669377840733018248707250548277181001911990237151790533341326223932843775840498222236867608395855700891719880219904948672458645420169533565809609056209006342663841718949396996175294237942265325043426430990062217643279654512512640557763489491751115437780462208361129433667449740743123546232162409802316714286708788831227582498585478334315076725145986771341647015244092760289407649044493584479944044779273447198382196766547779885914425854375158084417582279211000449529495605127376707776277159376010648950025135061284601443461110447113346277147728593420397807946636800365109579479211273476195727270004743568492888900356505584731622538401071221591141889158461271000051210318027818802379539544396973228585821742794928813630781709195703717312953337431290682263448669168179857644544116657440168099166467471736180072984407514757289757495435699300593165669101965987430482600019222913485092771346963058673132443387835726110205958057187517487684058179749952286341120230051432903482992282688283815697442898155194928723360957436110770317998431272108100149791425689283090777721270428030993332057319821685391144252815655146410678839177846108260765981523812232294638190350688210999605869296307711846463311346627138400477211801219366400312514793356564308532012682051019030257269068628100171220662165246389309014292764479226570049772046255291379151017129899157296574099437276707879597755725339406865738613810979022640265737120949077721294633786520294559343155148383011293584240192753971366644780434237846862975993387453786681995831719537733846579480995517357440575781962659282856696638992709756358478461648462532279323701121386551383509193782388241965285971965887701816406255233933761008649762854363984142178331798953040874526844255758512982810004271235810681505829473926495256537353108899526434200682024946218302499640511518360332022463196599199779172637638655415918976955930735312156870786600023896830267884391447789311101069654521354446521135407720085038662159974712373018912537116964809382149581004863115431780452188813210275393919111435118030412595133958954313836191108258769640843644195537185904547405641078708492098917460393911427237155683288565433183738513871595286090814836422982384810033331519971102974091067660369548406192526284519976668985518575216481570167748402860759832933071281814538397923687510782620605409323050353840034866296214149657376249634795555007199540807313397329050410326609108411299737760271566308288500400587417017113933243099961248847368789383209110747378488312550109911605079801570534271874115018095746872468910162721975463388518648962869080447866370484866697404176437230771558469231403088139693477706784802801265075586678597768511791952562627345622499328 - # 100788726492580594349650258277496659410917619472657560321971265983799894639441017438166498752997098978003489632843381325240982516059309714013145358125224597827602157516585886911710102182473475545864474089191789296685473601331678556438310133356793199956062857423397512495293688453655805536015029176541424005214818033707522950635262669828538132795615008381824067071229426026518897202246241637377064076189277685257166926338187911595052586669184297526234794666364657344206795357967279911782849686515024121916258300642000317525374433525235296287037535618423661645124459323811792936193272341688261801253469089129439519903538495370298752436267926761998785090092411372633429302950606054074205533246665546979112178855223925266166034953000200646676762301817000435641690517142795144469005596172113586738287118865058604922865654348297975054956781513943444060257230946224520058527667925776273088622386666860662470481606622952298649177217986593047495967209669116410592230626047083795555559776477430548946990993890380787911273437967786556742804566652408275798339221179283430482118140020742719695900657696142739101628984271513292954605191778803974738871043737934546460016184719168074062912083778327025499841998124431899131874519812228674255796948879306477894924710085384116453080236862135706628989104070747737689294987000148388110561753028594988959655591699155508380909698460304884908709246116411180876105681720036833487450945730831039969246996849503525429840196651386469599438064049723005123629385485140945945416764414133189625489032807860400751723995946290581976152580477047961138617997133510128194027510895265424780627975864980749945631413855375897945293107842908479797077570371447220506451229526132919408351287454305932886749170523056147842439813407002950370505941417426433452282518739345666494683448699945734453214481915512562995906034771246088038719298959180199052759295868161570318718927430655393250250811804905393113074074574608255523847592006804881016594060188745212933427473833239777228852952217878690668413947367586040297784502192683200664398064682201012931468052982448022330449955215606614483165425935154496289535573901139223034819824408001205784146243892228030383941863746839845526558421740316887532141893650230936137269356278754487130882868595412163277284772124736531380334814212708066069618080153747333573454834500999083737284449542481264971030785043701582134343596645346132964567391370300568578875509971483039720438955919863275044932311289587494336123538202079503922025306586828117649623642521324286648529829664567232756108169459356549144779085080036654897525078792273443307070502103724611233768453196294899770515940520895908289018412144327894912660060761908970811602375085884115384049610753387776858733798341463052471017393165656926510611173543365663267563198760597092606598728110197523695339144204179424646442294307593146446562536865057987897899655645968129515654148044008249646703504419478535298270862753806142083172190778193001810574370442181909146645889199829207284871551220439225371051511970054965951914399901815408791418836185742573331879114400013259342896515702942707292473805188905427717363630137869116872433627556880809120353079342030725196065815470427569172350436988386579444534375353968759750750178342190349607711313840613843718547859929387259163285524671855725511880656411741012446023392964655239624520090988149679656514996202498334816938716757663800773997302639681907686195671083505910700098597156238624351157219093280177066146218516478636356056420098245995113668018177690728654922707281126889313941750547830163078886329630807850633273613622550216189245162735650139455042125252043274668279981753287687674520319519360593091620297805736177366738063651905396783336064579717230286821545930579779462534206093794040878198825916141099864730374109311705285661056855668930671948265232862757146615431791375559792290479316263924560826544387396762768331402198937951439504767950821089741987629257538953417586416459087855138539304027013800937360598578194413362672871055543854633921502486683911956250444582746421552178164852341035733290405311280719066037175324627429434912416361334254696649419037348733709488576582107382055914938194078813926926742828297826939120316120573453588052056773875836843924877773978390546387248009519202370375478981843515393806263037580338009594022254079586380520797699651840576286033587273591899639699077044271208886940540056794360292760863657703246410020854088849880453524038877935317875884698324859548991680533307680053872403383516589028793015681082435908524045497475001609824047204954932626536311826911363867426654549346914317405110707189532251727848751560224936842128628673253616256326013555922159336370177663785738170802777550686079119049748734352584409583136667752555307842739679930698964098088960000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)%bigQ -. - -Fixpoint numden_Rcontfrac_tailrecB (accu: list bigZ) (n1 d1: bigZ) (n2 d2: bigZ) (fuel: nat) {struct fuel}: - (list bigZ * bigQ * bigQ) := - let default := (rev_append accu nil, BigQ.div (BigQ.Qz n1) (BigQ.Qz d1), BigQ.div (BigQ.Qz n2) (BigQ.Qz d2)) in - match fuel with - | O => default - | S fuel' => - let '(q1, r1) := BigZ.div_eucl n1 d1 in - let '(q2, r2) := BigZ.div_eucl n2 d2 in - match BigZ.eqb q1 q2 with - | false => default - | true => - let r1_is_zero := BigZ.eqb r1 0 in - let r2_is_zero := BigZ.eqb r2 0 in - match Bool.eqb r1_is_zero r2_is_zero with - | false => default - | true => - match r1_is_zero with - | true => - match BigZ.eqb q1 1 with - | true => (rev_append accu nil, 1%bigQ, 1%bigQ) - | false => (rev_append ((q1 - 1)%bigZ :: accu) nil, 1%bigQ, 1%bigQ) - end - | false => numden_Rcontfrac_tailrecB (q1 :: accu) d1 r1 d2 r2 fuel' - end - end - end - end. - -Definition Bnum b := - match b with - | BigQ.Qz t => t - | BigQ.Qq n d => - if (d =? BigN.zero)%bigN then 0%bigZ else n - end. - -Definition Bden b := - match b with - | BigQ.Qz _ => 1%bigN - | BigQ.Qq _ d => if (d =? BigN.zero)%bigN then 1%bigN else d - end. - -Definition rat_Rcontfrac_tailrecB q1 q2 := - numden_Rcontfrac_tailrecB nil (Bnum q1) (BigZ.Pos (Bden q1)) (Bnum q2) (BigZ.Pos (Bden q2)). - -Definition pi_4_contfrac := - rat_Rcontfrac_tailrecB pi_4_approx_low' pi_4_approx_high' 3000. - -(* The following used to fail because of a non canonical representation of 0 in -the bytecode interpreter. Bug reported privately by Tahina Ramananandro. *) -Goal pi_4_contfrac = pi_4_contfrac. -vm_compute. -reflexivity. -Qed. diff --git a/test-suite/success/boundvars.v b/test-suite/success/boundvars.v new file mode 100644 index 00000000..fafe2729 --- /dev/null +++ b/test-suite/success/boundvars.v @@ -0,0 +1,14 @@ +(* An example showing a bug in the detection of free variables *) +(* "x" is not free in the common type of "x" and "y" *) + +Check forall (x z:unit) (x y : match z as x return x=x with tt => eq_refl end = eq_refl), x=x. + +(* An example showing a bug in the detection of bound variables *) + +Goal forall x, match x return x = x with 0 => eq_refl | _ => eq_refl end = eq_refl. +intro. +match goal with +|- (match x as y in nat return y = y with O => _ | S n => _ end) = _ => assert (forall y, y = 0) end. +intro. +Check x0. (* Check that "y" has been bound to "x0" while matching "match x as x0 return x0=x0 with ... end" *) +Abort. diff --git a/test-suite/success/bteauto.v b/test-suite/success/bteauto.v index 3178c6fc..730b367d 100644 --- a/test-suite/success/bteauto.v +++ b/test-suite/success/bteauto.v @@ -55,6 +55,7 @@ Module Backtracking. Axiom A : Type. Existing Class A. Axioms a b c d e: A. + Existing Instances a b c d e. Ltac get_value H := eval cbv delta [H] in H. diff --git a/test-suite/success/cbn.v b/test-suite/success/cbn.v new file mode 100644 index 00000000..c98689c2 --- /dev/null +++ b/test-suite/success/cbn.v @@ -0,0 +1,18 @@ +(* cbn is able to refold mutual recursive calls *) + +Fixpoint foo (n : nat) := + match n with + | 0 => true + | S n => g n + end +with g (n : nat) : bool := + match n with + | 0 => true + | S n => foo n + end. +Goal forall n, foo (S n) = g n. + intros. cbn. + match goal with + |- g _ = g _ => reflexivity + end. +Qed. diff --git a/test-suite/success/cc.v b/test-suite/success/cc.v index bbfe5ec4..49a8b9cf 100644 --- a/test-suite/success/cc.v +++ b/test-suite/success/cc.v @@ -151,3 +151,17 @@ Section JLeivant. congruence. Qed. End JLeivant. + +(* An example with primitive projections *) + +Module PrimitiveProjections. +Set Primitive Projections. +Record t (A:Type) := { f : A }. +Goal forall g (a:t nat), @f nat = g -> f a = 0 -> g a = 0. +congruence. +Undo. +intros. +unfold f in H0. (* internally turn the projection to unfolded form *) +congruence. +Qed. +End PrimitiveProjections. diff --git a/test-suite/success/change.v b/test-suite/success/change.v index 1f0b7d38..a9821b02 100644 --- a/test-suite/success/change.v +++ b/test-suite/success/change.v @@ -59,3 +59,12 @@ unfold x. (* check that n in 0+n is not interpreted as the n from "fun n" *) change n with (0+n). Abort. + +(* Check non-collision of non-normalized defined evars with pattern variables *) + +Goal exists x, 1=1 -> x=1/\x=1. +eexists ?[n]; intros; split. +eassumption. +match goal with |- ?x=1 => change (x=1) with (0+x=1) end. +match goal with |- 0+1=1 => trivial end. +Qed. diff --git a/test-suite/success/change_pattern.v b/test-suite/success/change_pattern.v new file mode 100644 index 00000000..874abf49 --- /dev/null +++ b/test-suite/success/change_pattern.v @@ -0,0 +1,34 @@ +Set Implicit Arguments. +Unset Strict Implicit. + +Axiom vector : Type -> nat -> Type. + +Record KleeneStore i j a := kleeneStore + { dim : nat + ; peek : vector j dim -> a + ; pos : vector i dim + }. + +Definition KSmap i j a b (f : a -> b) (s : KleeneStore i j a) : KleeneStore i j b := + kleeneStore (fun v => f (peek v)) (pos s). + +Record KleeneCoalg (i o : Type -> Type) := kleeneCoalg + { coalg :> forall a b, (o a) -> KleeneStore (i a) (i b) (o b) }. + +Axiom free_b_dim : forall i o (k : KleeneCoalg i o) a b b' (x : o a), dim (coalg k b x) = dim (coalg k b' x). +Axiom t : Type -> Type. +Axiom traverse : KleeneCoalg (fun x => x) t. + +Definition size a (x:t a) : nat := dim (traverse a a x). + +Lemma iso1_iso2_2 a (y : {x : t unit & vector a (size x)}) : False. +Proof. +destruct y. +pose (X := KSmap (traverse a unit) (traverse unit a x)). +set (e :=(eq_sym (free_b_dim traverse (a:=unit) a unit x))). +clearbody e. +(** The pattern generated by change must have holes where there were implicit + arguments in the original user-provided term. This particular example fails + if this is not the case because the inferred argument does not coincide with + the one in the considered term. *) +progress (change (dim (traverse unit a x)) with (dim X) in e). diff --git a/test-suite/success/clear.v b/test-suite/success/clear.v index e25510cf..03034cf1 100644 --- a/test-suite/success/clear.v +++ b/test-suite/success/clear.v @@ -30,4 +30,4 @@ Section Foo. assert(b:=Build_A). solve [ typeclasses eauto ]. Qed. -End Foo.
\ No newline at end of file +End Foo. diff --git a/test-suite/success/coercions.v b/test-suite/success/coercions.v index b538d2ed..9389c9d3 100644 --- a/test-suite/success/coercions.v +++ b/test-suite/success/coercions.v @@ -130,4 +130,59 @@ Local Coercion l2v2 : list >-> vect. of coercions *) Fail Check (fun l : list (T1 * T1) => (l : vect _ _)). Check (fun l : list (T1 * T1) => (l2v2 l : vect _ _)). -Section what_we_could_do.
\ No newline at end of file +End what_we_could_do. + + +(** Unit test for Prop as source class *) + +Module TestPropAsSourceCoercion. + + Parameter heap : Prop. + + Parameter heap_empty : heap. + + Definition hprop := heap -> Prop. + + Coercion hpure (P:Prop) : hprop := fun h => h = heap_empty /\ P. + + Parameter heap_single : nat -> nat -> hprop. + + Parameter hstar : hprop -> hprop -> hprop. + + Notation "H1 \* H2" := (hstar H1 H2) (at level 69). + + Definition test := heap_single 4 5 \* (5 <> 4) \* heap_single 2 4 \* (True). + + (* Print test. -- reveals [hpure] coercions *) + +End TestPropAsSourceCoercion. + + +(** Unit test for Type as source class *) + +Module TestTypeAsSourceCoercion. + + Require Import Coq.Setoids.Setoid. + + Record setoid := { A : Type ; R : relation A ; eqv : Equivalence R }. + + Definition default_setoid (T : Type) : setoid + := {| A := T ; R := eq ; eqv := _ |}. + + Coercion default_setoid : Sortclass >-> setoid. + + Definition foo := Type : setoid. + + Inductive type := U | Nat. + Inductive term : type -> Type := + | ty (_ : Type) : term U + | nv (_ : nat) : term Nat. + + Coercion ty : Sortclass >-> term. + + Definition ty1 := Type : term _. + Definition ty2 := Prop : term _. + Definition ty3 := Set : term _. + Definition ty4 := (Type : Type) : term _. + +End TestTypeAsSourceCoercion. diff --git a/test-suite/success/coindprim.v b/test-suite/success/coindprim.v index 5b9265b6..05ab9139 100644 --- a/test-suite/success/coindprim.v +++ b/test-suite/success/coindprim.v @@ -13,9 +13,10 @@ Definition eta {A} (s : Stream A) := {| hd := s.(hd); tl := s.(tl) |}. CoFixpoint ones := {| hd := 1; tl := ones |}. CoFixpoint ticks := {| hd := tt; tl := ticks |}. -CoInductive stream_equiv {A} {s : Stream A} {s' : Stream A} : Prop := - mkStreamEq { hdeq : s.(hd) = s'.(hd); tleq : stream_equiv _ s.(tl) s'.(tl) }. -Arguments stream_equiv {A} s s'. +CoInductive stream_equiv {A} (s : Stream A) (s' : Stream A) : Prop := + mkStreamEq { hdeq : s.(hd) = s'.(hd); tleq : stream_equiv s.(tl) s'.(tl) }. +Arguments hdeq {A} {s} {s'}. +Arguments tleq {A} {s} {s'}. Program CoFixpoint ones_eq : stream_equiv ones ones.(tl) := {| hdeq := eq_refl; tleq := ones_eq |}. @@ -88,4 +89,4 @@ Lemma eq (x : U) : x = force x. Proof. Fail destruct x. Abort. - (* Impossible *)
\ No newline at end of file + (* Impossible *) diff --git a/test-suite/success/cumulativity.v b/test-suite/success/cumulativity.v new file mode 100644 index 00000000..3d97f27b --- /dev/null +++ b/test-suite/success/cumulativity.v @@ -0,0 +1,139 @@ +Polymorphic Cumulative Inductive T1 := t1 : T1. +Fail Monomorphic Cumulative Inductive T2 := t2 : T2. + +Polymorphic Cumulative Record R1 := { r1 : T1 }. +Fail Monomorphic Cumulative Inductive R2 := {r2 : T1}. + +Set Universe Polymorphism. +Set Polymorphic Inductive Cumulativity. +Set Printing Universes. + +Inductive List (A: Type) := nil | cons : A -> List A -> List A. + +Definition LiftL@{k i j|k <= i, k <= j} {A:Type@{k}} : List@{i} A -> List@{j} A := fun x => x. + +Lemma LiftL_Lem A (l : List A) : l = LiftL l. +Proof. reflexivity. Qed. + +Inductive Tp := tp : Type -> Tp. + +Definition LiftTp@{i j|i <= j} : Tp@{i} -> Tp@{j} := fun x => x. + +Fail Definition LowerTp@{i j|j < i} : Tp@{i} -> Tp@{j} := fun x => x. + +Record Tp' := { tp' : Tp }. + +Definition CTp := Tp. +(* here we have to reduce a constant to infer the correct subtyping. *) +Record Tp'' := { tp'' : CTp }. + +Definition LiftTp'@{i j|i <= j} : Tp'@{i} -> Tp'@{j} := fun x => x. +Definition LiftTp''@{i j|i <= j} : Tp''@{i} -> Tp''@{j} := fun x => x. + +Lemma LiftC_Lem (t : Tp) : LiftTp t = t. +Proof. reflexivity. Qed. + +Section subtyping_test. + Universe i j. + Constraint i < j. + + Inductive TP2 := tp2 : Type@{i} -> Type@{j} -> TP2. + +End subtyping_test. + +Record A : Type := { a :> Type; }. + +Record B (X : A) : Type := { b : X; }. + +NonCumulative Inductive NCList (A: Type) + := ncnil | nccons : A -> NCList A -> NCList A. + +Fail Definition LiftNCL@{k i j|k <= i, k <= j} {A:Type@{k}} + : NCList@{i} A -> NCList@{j} A := fun x => x. + +Inductive eq@{i} {A : Type@{i}} (x : A) : A -> Type@{i} := eq_refl : eq x x. + +Definition funext_type@{a b e} (A : Type@{a}) (B : A -> Type@{b}) + := forall f g : (forall a, B a), + (forall x, eq@{e} (f x) (g x)) + -> eq@{e} f g. + +Section down. + Universes a b e e'. + Constraint e' < e. + Lemma funext_down {A B} + : @funext_type@{a b e} A B -> @funext_type@{a b e'} A B. + Proof. + intros H f g Hfg. exact (H f g Hfg). + Defined. +End down. + +Record Arrow@{i j} := { arrow : Type@{i} -> Type@{j} }. + +Fail Definition arrow_lift@{i i' j j' | i' < i, j < j'} + : Arrow@{i j} -> Arrow@{i' j'} + := fun x => x. + +Definition arrow_lift@{i i' j j' | i' = i, j <= j'} + : Arrow@{i j} -> Arrow@{i' j'} + := fun x => x. + +Inductive Mut1 A := +| Base1 : Type -> Mut1 A +| Node1 : (A -> Mut2 A) -> Mut1 A +with Mut2 A := + | Base2 : Type -> Mut2 A + | Node2 : Mut1 A -> Mut2 A. + +(* If we don't reduce T while inferring cumulativity for the + constructor we will see a Rel and believe i is irrelevant. *) +Inductive withparams@{i j} (T:=Type@{i}:Type@{j}) := mkwithparams : T -> withparams. + +Definition withparams_co@{i i' j|i < i', i' < j} : withparams@{i j} -> withparams@{i' j} + := fun x => x. + +Fail Definition withparams_not_irr@{i i' j|i' < i, i' < j} : withparams@{i j} -> withparams@{i' j} + := fun x => x. + +(** Cumulative constructors *) + + +Record twotys@{u v w} : Type@{w} := + twoconstr { fstty : Type@{u}; sndty : Type@{v} }. + +Monomorphic Universes i j k l. + +Monomorphic Constraint i < j. +Monomorphic Constraint j < k. +Monomorphic Constraint k < l. + +Parameter Tyi : Type@{i}. + +Definition checkcumul := + eq_refl _ : @eq twotys@{k k l} (twoconstr@{i j k} Tyi Tyi) (twoconstr@{j i k} Tyi Tyi). + +(* They can only be compared at the highest type *) +Fail Definition checkcumul' := + eq_refl _ : @eq twotys@{i k l} (twoconstr@{i j k} Tyi Tyi) (twoconstr@{j i k} Tyi Tyi). + +(* An inductive type with an irrelevant universe *) +Inductive foo@{i} : Type@{i} := mkfoo { }. + +Definition bar := foo. + +(* The universe on mkfoo is flexible and should be unified with i. *) +Definition foo1@{i} : foo@{i} := let x := mkfoo in x. (* fast path for conversion *) +Definition foo2@{i} : bar@{i} := let x := mkfoo in x. (* must reduce *) + +(* Rigid universes however should not be unified unnecessarily. *) +Definition foo3@{i j|} : foo@{i} := let x := mkfoo@{j} in x. +Definition foo4@{i j|} : bar@{i} := let x := mkfoo@{j} in x. + +(* Constructors for an inductive with indices *) +Module WithIndex. + Inductive foo@{i} : (Prop -> Prop) -> Prop := mkfoo: foo (fun x => x). + + Monomorphic Universes i j. + Monomorphic Constraint i < j. + Definition bar : eq mkfoo@{i} mkfoo@{j} := eq_refl _. +End WithIndex. diff --git a/test-suite/success/decl_mode.v b/test-suite/success/decl_mode.v deleted file mode 100644 index 58f79d45..00000000 --- a/test-suite/success/decl_mode.v +++ /dev/null @@ -1,182 +0,0 @@ -(* \sqrt 2 is irrationnal, (c) 2006 Pierre Corbineau *) - -Set Firstorder Depth 1. -Require Import ArithRing Wf_nat Peano_dec Div2 Even Lt. - -Lemma double_div2: forall n, div2 (double n) = n. -proof. - assume n:nat. - per induction on n. - suppose it is 0. - suffices (0=0) to show thesis. - thus thesis. - suppose it is (S m) and Hrec:thesis for m. - have (div2 (double (S m))= div2 (S (S (double m)))). - ~= (S (div2 (double m))). - thus ~= (S m) by Hrec. - end induction. -end proof. -Show Script. -Qed. - -Lemma double_inv : forall n m, double n = double m -> n = m . -proof. - let n, m be such that H:(double n = double m). -have (n = div2 (double n)) by double_div2,H. - ~= (div2 (double m)) by H. - thus ~= m by double_div2. -end proof. -Qed. - -Lemma double_mult_l : forall n m, (double (n * m)=n * double m). -proof. - assume n:nat and m:nat. - have (double (n * m) = n*m + n * m). - ~= (n * (m+m)) by * using ring. - thus ~= (n * double m). -end proof. -Qed. - -Lemma double_mult_r : forall n m, (double (n * m)=double n * m). -proof. - assume n:nat and m:nat. - have (double (n * m) = n*m + n * m). - ~= ((n + n) * m) by * using ring. - thus ~= (double n * m). -end proof. -Qed. - -Lemma even_is_even_times_even: forall n, even (n*n) -> even n. -proof. - let n be such that H:(even (n*n)). - per cases of (even n \/ odd n) by even_or_odd. - suppose (odd n). - hence thesis by H,even_mult_inv_r. - end cases. -end proof. -Qed. - -Lemma main_thm_aux: forall n,even n -> -double (double (div2 n *div2 n))=n*n. -proof. - given n such that H:(even n). - *** have (double (double (div2 n * div2 n)) - = double (div2 n) * double (div2 n)) - by double_mult_l,double_mult_r. - thus ~= (n*n) by H,even_double. -end proof. -Qed. - -Require Import Omega. - -Lemma even_double_n: (forall m, even (double m)). -proof. - assume m:nat. - per induction on m. - suppose it is 0. - thus thesis. - suppose it is (S mm) and thesis for mm. - then H:(even (S (S (mm+mm)))). - have (S (S (mm + mm)) = S mm + S mm) using omega. - hence (even (S mm +S mm)) by H. - end induction. -end proof. -Qed. - -Theorem main_theorem: forall n p, n*n=double (p*p) -> p=0. -proof. - assume n0:nat. - define P n as (forall p, n*n=double (p*p) -> p=0). - claim rec_step: (forall n, (forall m,m<n-> P m) -> P n). - let n be such that H:(forall m : nat, m < n -> P m) and p:nat . - per cases of ({n=0}+{n<>0}) by eq_nat_dec. - suppose H1:(n=0). - per cases on p. - suppose it is (S p'). - assume (n * n = double (S p' * S p')). - =~ 0 by H1,mult_n_O. - ~= (S ( p' + p' * S p' + S p'* S p')) - by plus_n_Sm. - hence thesis . - suppose it is 0. - thus thesis. - end cases. - suppose H1:(n<>0). - assume H0:(n*n=double (p*p)). - have (even (double (p*p))) by even_double_n . - then (even (n*n)) by H0. - then H2:(even n) by even_is_even_times_even. - then (double (double (div2 n *div2 n))=n*n) - by main_thm_aux. - ~= (double (p*p)) by H0. - then H':(double (div2 n *div2 n)= p*p) by double_inv. - have (even (double (div2 n *div2 n))) by even_double_n. - then (even (p*p)) by even_double_n,H'. - then H3:(even p) by even_is_even_times_even. - have (double(double (div2 n * div2 n)) = n*n) - by H2,main_thm_aux. - ~= (double (p*p)) by H0. - ~= (double(double (double (div2 p * div2 p)))) - by H3,main_thm_aux. - then H'':(div2 n * div2 n = double (div2 p * div2 p)) - by double_inv. - then (div2 n < n) by lt_div2,neq_O_lt,H1. - then H4:(div2 p=0) by (H (div2 n)),H''. - then (double (div2 p) = double 0). - =~ p by even_double,H3. - thus ~= 0. - end cases. - end claim. - hence thesis by (lt_wf_ind n0 P). -end proof. -Qed. - -Require Import Reals Field. -(*Coercion INR: nat >->R. -Coercion IZR: Z >->R.*) - -Open Scope R_scope. - -Lemma square_abs_square: - forall p,(INR (Z.abs_nat p) * INR (Z.abs_nat p)) = (IZR p * IZR p). -proof. - assume p:Z. - per cases on p. - suppose it is (0%Z). - thus thesis. - suppose it is (Zpos z). - thus thesis. - suppose it is (Zneg z). - have ((INR (Z.abs_nat (Zneg z)) * INR (Z.abs_nat (Zneg z))) = - (IZR (Zpos z) * IZR (Zpos z))). - ~= ((- IZR (Zpos z)) * (- IZR (Zpos z))). - thus ~= (IZR (Zneg z) * IZR (Zneg z)). - end cases. -end proof. -Qed. - -Definition irrational (x:R):Prop := - forall (p:Z) (q:nat),q<>0%nat -> x<> (IZR p/INR q). - -Theorem irrationnal_sqrt_2: irrational (sqrt (INR 2%nat)). -proof. - let p:Z,q:nat be such that H:(q<>0%nat) - and H0:(sqrt (INR 2%nat)=(IZR p/INR q)). - have H_in_R:(INR q<>0:>R) by H. - have triv:((IZR p/INR q* INR q) =IZR p :>R) by * using field. - have sqrt2:((sqrt (INR 2%nat) * sqrt (INR 2%nat))= INR 2%nat:>R) by sqrt_def. - have (INR (Z.abs_nat p * Z.abs_nat p) - = (INR (Z.abs_nat p) * INR (Z.abs_nat p))) - by mult_INR. - ~= (IZR p* IZR p) by square_abs_square. - ~= ((IZR p/INR q*INR q)*(IZR p/INR q*INR q)) by triv. (* we have to factor because field is too weak *) - ~= ((IZR p/INR q)*(IZR p/INR q)*(INR q*INR q)) using ring. - ~= (sqrt (INR 2%nat) * sqrt (INR 2%nat)*(INR q*INR q)) by H0. - ~= (INR (2%nat * (q*q))) by sqrt2,mult_INR. - then (Z.abs_nat p * Z.abs_nat p = 2* (q * q))%nat. - ~= ((q*q)+(q*q))%nat. - ~= (Div2.double (q*q)). - then (q=0%nat) by main_theorem. - hence thesis by H. -end proof. -Qed. diff --git a/test-suite/success/decl_mode2.v b/test-suite/success/decl_mode2.v deleted file mode 100644 index 46174e48..00000000 --- a/test-suite/success/decl_mode2.v +++ /dev/null @@ -1,249 +0,0 @@ -Theorem this_is_trivial: True. -proof. - thus thesis. -end proof. -Qed. - -Theorem T: (True /\ True) /\ True. - split. split. -proof. (* first subgoal *) - thus thesis. -end proof. -trivial. (* second subgoal *) -proof. (* third subgoal *) - thus thesis. -end proof. -Abort. - -Theorem this_is_not_so_trivial: False. -proof. -end proof. (* here a warning is issued *) -Fail Qed. (* fails: the proof in incomplete *) -Admitted. (* Oops! *) - -Theorem T: True. -proof. -escape. -auto. -return. -Abort. - -Theorem T: let a:=false in let b:= true in ( if a then True else False -> if b then True else False). -intros a b. -proof. -assume H:(if a then True else False). -reconsider H as False. -reconsider thesis as True. -Abort. - -Theorem T: forall x, x=2 -> 2+x=4. -proof. -let x be such that H:(x=2). -have H':(2+x=2+2) by H. -Abort. - -Theorem T: forall x, x=2 -> 2+x=4. -proof. -let x be such that H:(x=2). -then (2+x=2+2). -Abort. - -Theorem T: forall x, x=2 -> x + x = x * x. -proof. -let x be such that H:(x=2). -have (4 = 4). - ~= (2 * 2). - ~= (x * x) by H. - =~ (2 + 2). - =~ H':(x + x) by H. -Abort. - -Theorem T: forall x, x + x = x * x -> x = 0 \/ x = 2. -proof. -let x be such that H:(x + x = x * x). -claim H':((x - 2) * x = 0). -thus thesis. -end claim. -Abort. - -Theorem T: forall (A B:Prop), A -> B -> A /\ B. -intros A B HA HB. -proof. -hence B. -Abort. - -Theorem T: forall (A B C:Prop), A -> B -> C -> A /\ B /\ C. -intros A B C HA HB HC. -proof. -thus B by HB. -Abort. - -Theorem T: forall (A B C:Prop), A -> B -> C -> A /\ B. -intros A B C HA HB HC. -proof. -Fail hence C. (* fails *) -Abort. - -Theorem T: forall (A B:Prop), B -> A \/ B. -intros A B HB. -proof. -hence B. -Abort. - -Theorem T: forall (A B C D:Prop), C -> D -> (A /\ B) \/ (C /\ D). -intros A B C D HC HD. -proof. -thus C by HC. -Abort. - -Theorem T: forall (P:nat -> Prop), P 2 -> exists x,P x. -intros P HP. -proof. -take 2. -Abort. - -Theorem T: forall (P:nat -> Prop), P 2 -> exists x,P x. -intros P HP. -proof. -hence (P 2). -Abort. - -Theorem T: forall (P:nat -> Prop) (R:nat -> nat -> Prop), P 2 -> R 0 2 -> exists x, exists y, P y /\ R x y. -intros P R HP HR. -proof. -thus (P 2) by HP. -Abort. - -Theorem T: forall (A B:Prop) (P:nat -> Prop), (forall x, P x -> B) -> A -> A /\ B. -intros A B P HP HA. -proof. -suffices to have x such that HP':(P x) to show B by HP,HP'. -Abort. - -Theorem T: forall (A:Prop) (P:nat -> Prop), P 2 -> A -> A /\ (forall x, x = 2 -> P x). -intros A P HP HA. -proof. -(* BUG: the next line fails when it should succeed. -Waiting for someone to investigate the bug. -focus on (forall x, x = 2 -> P x). -let x be such that (x = 2). -hence thesis by HP. -end focus. -*) -Abort. - -Theorem T: forall x, x = 0 -> x + x = x * x. -proof. -let x be such that H:(x = 0). -define sqr x as (x * x). -reconsider thesis as (x + x = sqr x). -Abort. - -Theorem T: forall (P:nat -> Prop), forall x, P x -> P x. -proof. -let P:(nat -> Prop). -let x:nat. -assume HP:(P x). -Abort. - -Theorem T: forall (P:nat -> Prop), forall x, P x -> P x. -proof. -let P:(nat -> Prop). -Fail let x. (* fails because x's type is not clear *) -let x be such that HP:(P x). (* here x's type is inferred from (P x) *) -Abort. - -Theorem T: forall (P:nat -> Prop), forall x, P x -> P x -> P x. -proof. -let P:(nat -> Prop). -let x:nat. -assume (P x). (* temporary name created *) -Abort. - -Theorem T: forall (P:nat -> Prop), forall x, P x -> P x. -proof. -let P:(nat -> Prop). -let x be such that (P x). (* temporary name created *) -Abort. - -Theorem T: forall (P:nat -> Prop) (A:Prop), (exists x, (P x /\ A)) -> A. -proof. -let P:(nat -> Prop),A:Prop be such that H:(exists x, P x /\ A). -consider x such that HP:(P x) and HA:A from H. -Abort. - -(* Here is an example with pairs: *) - -Theorem T: forall p:(nat * nat)%type, (fst p >= snd p) \/ (fst p < snd p). -proof. -let p:(nat * nat)%type. -consider x:nat,y:nat from p. -reconsider thesis as (x >= y \/ x < y). -Abort. - -Theorem T: forall P:(nat -> Prop), (forall n, P n -> P (n - 1)) -> -(exists m, P m) -> P 0. -proof. -let P:(nat -> Prop) be such that HP:(forall n, P n -> P (n - 1)). -given m such that Hm:(P m). -Abort. - -Theorem T: forall (A B C:Prop), (A -> C) -> (B -> C) -> (A \/ B) -> C. -proof. -let A:Prop,B:Prop,C:Prop be such that HAC:(A -> C) and HBC:(B -> C). -assume HAB:(A \/ B). -per cases on HAB. -suppose A. - hence thesis by HAC. -suppose HB:B. - thus thesis by HB,HBC. -end cases. -Abort. - -Section Coq. - -Hypothesis EM : forall P:Prop, P \/ ~ P. - -Theorem T: forall (A C:Prop), (A -> C) -> (~A -> C) -> C. -proof. -let A:Prop,C:Prop be such that HAC:(A -> C) and HNAC:(~A -> C). -per cases of (A \/ ~A) by EM. -suppose (~A). - hence thesis by HNAC. -suppose A. - hence thesis by HAC. -end cases. -Abort. - -Theorem T: forall (A C:Prop), (A -> C) -> (~A -> C) -> C. -proof. -let A:Prop,C:Prop be such that HAC:(A -> C) and HNAC:(~A -> C). -per cases on (EM A). -suppose (~A). -Abort. -End Coq. - -Theorem T: forall (A B:Prop) (x:bool), (if x then A else B) -> A \/ B. -proof. -let A:Prop,B:Prop,x:bool. -per cases on x. -suppose it is true. - assume A. - hence A. -suppose it is false. - assume B. - hence B. -end cases. -Abort. - -Theorem T: forall (n:nat), n + 0 = n. -proof. -let n:nat. -per induction on n. -suppose it is 0. - thus (0 + 0 = 0). -suppose it is (S m) and H:thesis for m. - then (S (m + 0) = S m). - thus =~ (S m + 0). -end induction. -Abort.
\ No newline at end of file diff --git a/test-suite/success/dependentind.v b/test-suite/success/dependentind.v index 12ddbda8..f5bb884d 100644 --- a/test-suite/success/dependentind.v +++ b/test-suite/success/dependentind.v @@ -15,7 +15,7 @@ Proof. intros n H. dependent destruction H. assumption. -Save. +Qed. Require Import ProofIrrelevance. @@ -25,7 +25,7 @@ Proof. dependent destruction v. exists v ; exists a. reflexivity. -Save. +Qed. (* Extraction Unnamed_thm. *) diff --git a/test-suite/success/destruct.v b/test-suite/success/destruct.v index 90a60daa..6fbe61a9 100644 --- a/test-suite/success/destruct.v +++ b/test-suite/success/destruct.v @@ -12,7 +12,7 @@ assumption. assumption. Qed. -(* Simplification of bug 711 *) +(* Simplification of BZ#711 *) Parameter f : true = false. Goal let p := f in True. @@ -37,7 +37,7 @@ Goal True. case Refl || ecase Refl. Abort. -(* Submitted by B. Baydemir (bug #1882) *) +(* Submitted by B. Baydemir (BZ#1882) *) Require Import List. @@ -385,7 +385,7 @@ intros. Fail destruct H. Abort. -(* Check keep option (bug #3791) *) +(* Check keep option (BZ#3791) *) Goal forall b:bool, True. intro b. @@ -430,3 +430,9 @@ eexists ?[x]. destruct (S _). change (0 = ?x). Abort. + +Goal (forall P, P 0 -> True/\True) -> True. +intro H. +destruct (H (fun x => True)). +match goal with |- True => idtac end. +Abort. diff --git a/test-suite/success/dtauto-let-deps.v b/test-suite/success/dtauto-let-deps.v new file mode 100644 index 00000000..094b2f8b --- /dev/null +++ b/test-suite/success/dtauto-let-deps.v @@ -0,0 +1,24 @@ +(* +This test is sensitive to changes in which let-ins are expanded when checking +for dependencies in constructors. +If the (x := X) is not reduced, Foo1 won't be recognized as a conjunction, +and if the (y := X) is reduced, Foo2 will be recognized as a conjunction. + +This tests the behavior of engine/termops.ml : prod_applist_assum, +which is currently specified to reduce exactly the parameters. + +If dtauto is changed to reduce lets in constructors before checking dependency, +this test will need to be changed. +*) + +Context (P Q : Type). +Inductive Foo1 (X : Type) (x := X) := foo1 : let y := X in P -> Q -> Foo1 x. +Inductive Foo2 (X : Type) (x := X) := foo2 : let y := X in P -> Q -> Foo2 y. + +Goal P -> Q -> Foo1 nat. +solve [dtauto]. +Qed. + +Goal P -> Q -> Foo2 nat. +Fail solve [dtauto]. +Abort. diff --git a/test-suite/success/eauto.v b/test-suite/success/eauto.v index 160f2d9d..c4474737 100644 --- a/test-suite/success/eauto.v +++ b/test-suite/success/eauto.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) Class A (A : Type). diff --git a/test-suite/success/eqdecide.v b/test-suite/success/eqdecide.v index 724e2998..9b3fb3c5 100644 --- a/test-suite/success/eqdecide.v +++ b/test-suite/success/eqdecide.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) Inductive T : Set := diff --git a/test-suite/success/evars.v b/test-suite/success/evars.v index 4e2bf451..0f9fb745 100644 --- a/test-suite/success/evars.v +++ b/test-suite/success/evars.v @@ -23,7 +23,7 @@ Definition f1 frm0 a1 : B := f frm0 a1. (* Checks that solvable ? in the type part of the definition are harmless *) Definition f2 frm0 a1 : B := f frm0 a1. -(* Checks that sorts that are evars are handled correctly (bug 705) *) +(* Checks that sorts that are evars are handled correctly (BZ#705) *) Require Import List. Fixpoint build (nl : list nat) : @@ -58,11 +58,11 @@ Check (forall y n : nat, {q : nat | y = q * n}) -> forall n : nat, {q : nat | x = q * n}). -(* Check instantiation of nested evars (bug #1089) *) +(* Check instantiation of nested evars (BZ#1089) *) Check (fun f:(forall (v:Type->Type), v (v nat) -> nat) => f _ (Some (Some O))). -(* This used to fail with anomaly (Pp.str "evar was not declared") in V8.0pl3 *) +(* This used to fail with anomaly (Pp.str "evar was not declared.") in V8.0pl3 *) Theorem contradiction : forall p, ~ p -> p -> False. Proof. trivial. Qed. @@ -188,7 +188,7 @@ Abort. End Additions_while. -(* Two examples from G. Melquiond (bugs #1878 and #1884) *) +(* Two examples from G. Melquiond (BZ#1878 and BZ#1884) *) Parameter F1 G1 : nat -> Prop. Goal forall x : nat, F1 x -> G1 x. @@ -207,7 +207,7 @@ Fixpoint filter (A:nat->Set) (l:list (sigT A)) : list (sigT A) := | (existT _ k v)::l' => (existT _ k v):: (filter A l') end. -(* Bug #2000: used to raise Out of memory in 8.2 while it should fail by +(* BZ#2000: used to raise Out of memory in 8.2 while it should fail by lack of information on the conclusion of the type of j *) Goal True. @@ -381,7 +381,7 @@ Section evar_evar_occur. Check match g _ with conj a b => f _ a b end. End evar_evar_occur. -(* Eta expansion (bug #2936) *) +(* Eta expansion (BZ#2936) *) Record iffT (X Y:Type) : Type := mkIff { iffLR : X->Y; iffRL : Y->X }. Record tri (R:Type->Type->Type) (S:Type->Type->Type) (T:Type->Type->Type) := mkTri { tri0 : forall a b c, R a b -> S a c -> T b c @@ -414,4 +414,15 @@ Axiom test : forall P1 P2, P1 = P2 -> P1 -> P2. Import EqNotations. Definition test2 {A B:Type} {H:A=B} (a:A) : B := rew H in a. +(* Check that pre-existing evars are not counted as newly undefined in "set" *) +(* Reported by Théo *) +Goal exists n : nat, n = n -> True. +eexists. +set (H := _ = _). +Abort. + +(* Check interpretation of default evar instance in pretyping *) +(* (reported as bug #7356) *) + +Check fun (P : nat -> Prop) (x:nat) (h:P x) => exist _ ?[z] (h : P ?z). diff --git a/test-suite/success/extraction.v b/test-suite/success/extraction.v index 0086e090..95ae0709 100644 --- a/test-suite/success/extraction.v +++ b/test-suite/success/extraction.v @@ -1,11 +1,14 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) +Require Coq.extraction.Extraction. Require Import Arith. Require Import List. @@ -544,47 +547,96 @@ Recursive Extraction test_proj. (*** TO SUM UP: ***) -(* Was previously producing a "test_extraction.ml" *) -Recursive Extraction - idnat id id' test2 test3 test4 test5 test6 test7 d d2 - d3 d4 d5 d6 test8 id id' test9 test10 test11 test12 - test13 test19 test20 nat sumbool_rect c Finite tree - tree_size test14 test15 eta_c test16 test17 test18 bidon - tb fbidon fbidon2 fbidon2 test_0 test_1 eq eq_rect tp1 - tp1bis Truc oups test24 loop horibilis PropSet natbool - zerotrue zeroTrue zeroprop test21 test22 test23 f f_prop - f_arity f_normal Boite boite1 boite2 test_boite Box box1 - zarb test_proj. +Module Everything. + Definition idnat := idnat. + Definition id := id. + Definition id' := id'. + Definition test2 := test2. + Definition test3 := test3. + Definition test4 := test4. + Definition test5 := test5. + Definition test6 := test6. + Definition test7 := test7. + Definition d := d. + Definition d2 := d2. + Definition d3 := d3. + Definition d4 := d4. + Definition d5 := d5. + Definition d6 := d6. + Definition test8 := test8. + Definition test9 := test9. + Definition test10 := test10. + Definition test11 := test11. + Definition test12 := test12. + Definition test13 := test13. + Definition test19 := test19. + Definition test20 := test20. + Definition nat := nat. + Definition sumbool_rect := sumbool_rect. + Definition c := c. + Definition Finite := Finite. + Definition tree := tree. + Definition tree_size := tree_size. + Definition test14 := test14. + Definition test15 := test15. + Definition eta_c := eta_c. + Definition test16 := test16. + Definition test17 := test17. + Definition test18 := test18. + Definition bidon := bidon. + Definition tb := tb. + Definition fbidon := fbidon. + Definition fbidon2 := fbidon2. + Definition test_0 := test_0. + Definition test_1 := test_1. + Definition eq_rect := eq_rect. + Definition tp1 := tp1. + Definition tp1bis := tp1bis. + Definition Truc := Truc. + Definition oups := oups. + Definition test24 := test24. + Definition loop := loop. + Definition horibilis := horibilis. + Definition PropSet := PropSet. + Definition natbool := natbool. + Definition zerotrue := zerotrue. + Definition zeroTrue := zeroTrue. + Definition zeroprop := zeroprop. + Definition test21 := test21. + Definition test22 := test22. + Definition test23 := test23. + Definition f := f. + Definition f_prop := f_prop. + Definition f_arity := f_arity. + Definition f_normal := f_normal. + Definition Boite := Boite. + Definition boite1 := boite1. + Definition boite2 := boite2. + Definition test_boite := test_boite. + Definition Box := Box. + Definition box1 := box1. + Definition zarb := zarb. + Definition test_proj := test_proj. +End Everything. + +(* Extraction "test_extraction.ml" Everything. *) +Recursive Extraction Everything. +(* Check that the previous OCaml code is compilable *) +Extraction TestCompile Everything. Extraction Language Haskell. -(* Was previously producing a "Test_extraction.hs" *) -Recursive Extraction - idnat id id' test2 test3 test4 test5 test6 test7 d d2 - d3 d4 d5 d6 test8 id id' test9 test10 test11 test12 - test13 test19 test20 nat sumbool_rect c Finite tree - tree_size test14 test15 eta_c test16 test17 test18 bidon - tb fbidon fbidon2 fbidon2 test_0 test_1 eq eq_rect tp1 - tp1bis Truc oups test24 loop horibilis PropSet natbool - zerotrue zeroTrue zeroprop test21 test22 test23 f f_prop - f_arity f_normal Boite boite1 boite2 test_boite Box box1 - zarb test_proj. +(* Extraction "Test_extraction.hs" Everything. *) +Recursive Extraction Everything. Extraction Language Scheme. -(* Was previously producing a "test_extraction.scm" *) -Recursive Extraction - idnat id id' test2 test3 test4 test5 test6 test7 d d2 - d3 d4 d5 d6 test8 id id' test9 test10 test11 test12 - test13 test19 test20 nat sumbool_rect c Finite tree - tree_size test14 test15 eta_c test16 test17 test18 bidon - tb fbidon fbidon2 fbidon2 test_0 test_1 eq eq_rect tp1 - tp1bis Truc oups test24 loop horibilis PropSet natbool - zerotrue zeroTrue zeroprop test21 test22 test23 f f_prop - f_arity f_normal Boite boite1 boite2 test_boite Box box1 - zarb test_proj. +(* Extraction "test_extraction.scm" Everything. *) +Recursive Extraction Everything. (*** Finally, a test more focused on everyday's life situations ***) Require Import ZArith. -Recursive Extraction two_or_two_plus_one Zdiv_eucl_exist. +Extraction Language OCaml. +Recursive Extraction Z_modulo_2 Zdiv_eucl_exist. +Extraction TestCompile Z_modulo_2 Zdiv_eucl_exist. diff --git a/test-suite/success/extraction_dep.v b/test-suite/success/extraction_dep.v index 11bb25fd..fb0adaba 100644 --- a/test-suite/success/extraction_dep.v +++ b/test-suite/success/extraction_dep.v @@ -1,8 +1,10 @@ (** Examples of code elimination inside modules during extraction *) +Require Coq.extraction.Extraction. + (** NB: we should someday check the produced code instead of - simply running the commands. *) + extracting and just compiling. *) (** 1) Without signature ... *) @@ -18,6 +20,7 @@ End A. Definition testA := A.u + A.B.x. Recursive Extraction testA. (* without: v w *) +Extraction TestCompile testA. (** 1b) Same with an Include *) @@ -29,6 +32,7 @@ End Abis. Definition testAbis := Abis.u + Abis.y. Recursive Extraction testAbis. (* without: A B v w x *) +Extraction TestCompile testAbis. (** 2) With signature, we only keep elements mentionned in signature. *) @@ -44,3 +48,4 @@ End Ater. Definition testAter := Ater.u. Recursive Extraction testAter. (* with only: u v *) +Extraction TestCompile testAter. diff --git a/test-suite/success/extraction_impl.v b/test-suite/success/extraction_impl.v index dfdeff82..a38a688f 100644 --- a/test-suite/success/extraction_impl.v +++ b/test-suite/success/extraction_impl.v @@ -2,7 +2,9 @@ (** Examples of extraction with manually-declared implicit arguments *) (** NB: we should someday check the produced code instead of - simply running the commands. *) + extracting and just compiling. *) + +Require Coq.extraction.Extraction. (** Bug #4243, part 1 *) @@ -20,9 +22,11 @@ Proof. Defined. Recursive Extraction dnat_nat. +Extraction TestCompile dnat_nat. Extraction Implicit dnat_nat [n]. Recursive Extraction dnat_nat. +Extraction TestCompile dnat_nat. (** Same, with a Fixpoint *) @@ -33,9 +37,11 @@ Fixpoint dnat_nat' n (d:dnat n) := end. Recursive Extraction dnat_nat'. +Extraction TestCompile dnat_nat'. Extraction Implicit dnat_nat' [n]. Recursive Extraction dnat_nat'. +Extraction TestCompile dnat_nat'. (** Bug #4243, part 2 *) @@ -54,6 +60,7 @@ Defined. Extraction Implicit es [n]. Extraction Implicit enat_nat [n]. Recursive Extraction enat_nat. +Extraction TestCompile enat_nat. (** Same, with a Fixpoint *) @@ -65,6 +72,7 @@ Fixpoint enat_nat' n (e:enat n) : nat := Extraction Implicit enat_nat' [n]. Recursive Extraction enat_nat'. +Extraction TestCompile enat_nat'. (** Bug #4228 *) @@ -80,3 +88,4 @@ Extraction Implicit two_course [n]. End Food. Recursive Extraction Food.Meal. +Extraction TestCompile Food.Meal. diff --git a/test-suite/success/extraction_polyprop.v b/test-suite/success/extraction_polyprop.v index 7215bd99..936d838c 100644 --- a/test-suite/success/extraction_polyprop.v +++ b/test-suite/success/extraction_polyprop.v @@ -3,6 +3,8 @@ code that segfaults. See Table.error_singleton_become_prop or S. Glondu's thesis for more details. *) +Require Coq.extraction.Extraction. + Definition f {X} (p : (nat -> X) * True) : X * nat := (fst p 0, 0). diff --git a/test-suite/success/forward.v b/test-suite/success/forward.v new file mode 100644 index 00000000..4e36dec1 --- /dev/null +++ b/test-suite/success/forward.v @@ -0,0 +1,29 @@ +(* Testing forward reasoning *) + +Goal 0=0. +Fail assert (_ = _). +eassert (_ = _)by reflexivity. +eassumption. +Qed. + +Goal 0=0. +Fail set (S ?[nl]). +eset (S ?[n]). +remember (S ?n) as x. +instantiate (n:=0). +Fail remember (S (S _)). +eremember (S (S ?[x])). +instantiate (x:=0). +reflexivity. +Qed. + +(* Don't know if it is good or not but the compatibility tells that + the asserted goal to prove is subject to beta-iota but not the + asserted hypothesis *) + +Goal True. +assert ((fun x => x) False). +Fail match goal with |- (?f ?a) => idtac end. (* should be beta-iota reduced *) +2:match goal with _: (?f ?a) |- _ => idtac end. (* should not be beta-iota reduced *) +Abort. + diff --git a/test-suite/success/guard.v b/test-suite/success/guard.v index b9181d43..3a1c6dab 100644 --- a/test-suite/success/guard.v +++ b/test-suite/success/guard.v @@ -9,3 +9,20 @@ Check let x (f:nat->nat) k := f k in | 0 => 0 | S k => f F k (* here Rel 3 = F ! *) end. + +(** Commutation of guard condition allows recursive calls on functional arguments, + despite rewriting in their domain types. *) +Inductive foo : Type -> Type := +| End A : foo A +| Next A : (A -> foo A) -> foo A. + +Definition nat : Type := nat. + +Fixpoint bar (A : Type) (e : nat = A) (f : foo A) {struct f} : nat := +match f with +| End _ => fun _ => O +| Next A g => fun e => + match e in (_ = B) return (B -> foo A) -> nat with + | eq_refl => fun (g' : nat -> foo A) => bar A e (g' O) + end g +end e. diff --git a/test-suite/success/hintdb_in_ltac.v b/test-suite/success/hintdb_in_ltac.v new file mode 100644 index 00000000..f12b4d1f --- /dev/null +++ b/test-suite/success/hintdb_in_ltac.v @@ -0,0 +1,14 @@ +Definition x := 0. + +Hint Unfold x : mybase. + +Ltac autounfoldify base := autounfold with base. + +Tactic Notation "autounfoldify_bis" ident(base) := autounfold with base. + +Goal x = 0. + progress autounfoldify mybase. + Undo. + progress autounfoldify_bis mybase. + trivial. +Qed. diff --git a/test-suite/success/hintdb_in_ltac_bis.v b/test-suite/success/hintdb_in_ltac_bis.v new file mode 100644 index 00000000..2bc3f9d2 --- /dev/null +++ b/test-suite/success/hintdb_in_ltac_bis.v @@ -0,0 +1,15 @@ +Parameter Foo : Prop. +Axiom H : Foo. + +Hint Resolve H : mybase. + +Ltac foo base := eauto with base. + +Tactic Notation "bar" ident(base) := + typeclasses eauto with base. + +Goal Foo. + progress foo mybase. + Undo. + progress bar mybase. +Qed. diff --git a/test-suite/success/if.v b/test-suite/success/if.v index 9fde95e8..c81d2b9b 100644 --- a/test-suite/success/if.v +++ b/test-suite/success/if.v @@ -3,7 +3,7 @@ Check (fun b : bool => if b then Type else nat). -(* Check correct use of if-then-else predicate annotation (cf bug 690) *) +(* Check correct use of if-then-else predicate annotation (cf BZ#690) *) Check fun b : bool => if b as b0 return (if b0 then b0 = true else b0 = false) diff --git a/test-suite/success/indelim.v b/test-suite/success/indelim.v index 91b6dee2..a962c29f 100644 --- a/test-suite/success/indelim.v +++ b/test-suite/success/indelim.v @@ -58,4 +58,4 @@ Inductive color := Red | Black. Inductive option (A : Type) : Type := | None : option A -| Some : A -> option A.
\ No newline at end of file +| Some : A -> option A. diff --git a/test-suite/success/inds_type_sec.v b/test-suite/success/inds_type_sec.v index c729b23c..92fd6cb1 100644 --- a/test-suite/success/inds_type_sec.v +++ b/test-suite/success/inds_type_sec.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) Section S. Inductive T (U : Type) : Type := diff --git a/test-suite/success/induct.v b/test-suite/success/induct.v index 1ed731f5..da7df69e 100644 --- a/test-suite/success/induct.v +++ b/test-suite/success/induct.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (* Test des definitions inductives imbriquees *) diff --git a/test-suite/success/intros.v b/test-suite/success/intros.v index ee69df97..a329894a 100644 --- a/test-suite/success/intros.v +++ b/test-suite/success/intros.v @@ -1,5 +1,5 @@ (* Thinning introduction hypothesis must be done after all introductions *) -(* Submitted by Guillaume Melquiond (bug #1000) *) +(* Submitted by Guillaume Melquiond (BZ#1000) *) Goal forall A, A -> True. intros _ _. diff --git a/test-suite/success/keyedrewrite.v b/test-suite/success/keyedrewrite.v index b88c142b..5638a7d3 100644 --- a/test-suite/success/keyedrewrite.v +++ b/test-suite/success/keyedrewrite.v @@ -59,4 +59,4 @@ Qed. Lemma test b : b && true = b. Fail rewrite andb_true_l. Admitted. -
\ No newline at end of file + diff --git a/test-suite/success/letproj.v b/test-suite/success/letproj.v index a183be62..de2857b4 100644 --- a/test-suite/success/letproj.v +++ b/test-suite/success/letproj.v @@ -1,5 +1,5 @@ Set Primitive Projections. -Set Record Elimination Schemes. +Set Nonrecursive Elimination Schemes. Record Foo (A : Type) := { bar : A -> A; baz : A }. Definition test (A : Type) (f : Foo A) := diff --git a/test-suite/success/ltac.v b/test-suite/success/ltac.v index ce909905..0f22a1f0 100644 --- a/test-suite/success/ltac.v +++ b/test-suite/success/ltac.v @@ -147,7 +147,7 @@ check_binding ipattern:(H). Abort. (* Check that variables explicitly parsed as ltac variables are not - seen as intro pattern or constr (bug #984) *) + seen as intro pattern or constr (BZ#984) *) Ltac afi tac := intros; tac. Goal 1 = 2. @@ -317,3 +317,34 @@ let T := constr:(fun a b : nat => a) in end. exact (eq_refl n). Qed. + +(* A variant of #2602 which was wrongly succeeding because "a", bound to + "?m", was then internally turned into a "_" in the second matching *) + +Goal exists m, S m > 0. +eexists. +Fail match goal with + | |- context [ S ?a ] => + match goal with + | |- S a > a => idtac + end +end. +Abort. + +(* Test evar syntax *) + +Goal True. +evar (0=0). +Abort. + +(* Test location of hypothesis in "symmetry in H". This was broken in + 8.6 where H, when the oldest hyp, was moved at the place of most + recent hypothesis *) + +Goal 0=1 -> True -> True. +intros H H0. +symmetry in H. +(* H should be the first hypothesis *) +match goal with h:_ |- _ => assert (h=h) end. (* h should be H0 *) +exact (eq_refl H0). +Abort. diff --git a/test-suite/success/ltac_match_pattern_names.v b/test-suite/success/ltac_match_pattern_names.v new file mode 100644 index 00000000..790cd1b3 --- /dev/null +++ b/test-suite/success/ltac_match_pattern_names.v @@ -0,0 +1,28 @@ +(* example from bug 5345 *) +Ltac break_tuple := + match goal with + | [ H: context[let '(n, m) := ?a in _] |- _ ] => + let n := fresh n in + let m := fresh m in + destruct a as [n m] + end. + +(* desugared version of break_tuple *) +Ltac break_tuple' := + match goal with + | [ H: context[match ?a with | pair n m => _ end] |- _ ] => + let n := fresh n in + let m := fresh m in + idtac + end. + +Ltac multiple_branches := + match goal with + | [ H: match _ with + | left P => _ + | right Q => _ + end |- _ ] => + let P := fresh P in + let Q := fresh Q in + idtac + end. diff --git a/test-suite/success/ltac_plus.v b/test-suite/success/ltac_plus.v index 8a08d646..01d477bd 100644 --- a/test-suite/success/ltac_plus.v +++ b/test-suite/success/ltac_plus.v @@ -9,4 +9,4 @@ Proof. Fail ((apply h0+apply h2) || apply h1); apply h3. (* interaction with || *) ((apply h0+apply h1) || apply h2); apply h3. -Qed.
\ No newline at end of file +Qed. diff --git a/test-suite/success/mutual_ind.v b/test-suite/success/mutual_ind.v index 45c1a5e5..2c76a135 100644 --- a/test-suite/success/mutual_ind.v +++ b/test-suite/success/mutual_ind.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (* Definition mutuellement inductive et dependante *) diff --git a/test-suite/success/name_mangling.v b/test-suite/success/name_mangling.v new file mode 100644 index 00000000..e9824142 --- /dev/null +++ b/test-suite/success/name_mangling.v @@ -0,0 +1,191 @@ +(* -*- coq-prog-args: ("-mangle-names" "_") -*- *) + +(* Check that refine policy of redefining previous names make these names private *) +(* abstract can change names in the environment! See bug #3146 *) + +Goal True -> True. +intro. +Fail exact H. +exact _0. +Abort. + +Unset Mangle Names. +Goal True -> True. +intro; exact H. +Abort. + +Set Mangle Names. +Set Mangle Names Prefix "baz". +Goal True -> True. +intro. +Fail exact H. +Fail exact _0. +exact baz0. +Abort. + +Goal True -> True. +intro; assumption. +Abort. + +Goal True -> True. +intro x; exact x. +Abort. + +Goal forall x y, x+y=0. +intro x. +refine (fun x => _). +Fail Check x0. +Check x. +Abort. + +(* Example from Emilio *) + +Goal forall b : False, b = b. +intro b. +refine (let b := I in _). +Fail destruct b0. +Abort. + +(* Example from Cyprien *) + +Goal True -> True. +Proof. + refine (fun _ => _). + Fail exact t. +Abort. + +(* Example from Jason *) + +Goal False -> False. +intro H. +Fail abstract exact H. +Abort. + +(* Variant *) + +Goal False -> False. +intro. +Fail abstract exact H. +Abort. + +(* Example from Jason *) + +Goal False -> False. +intro H. +(* Name H' is from Ltac here, so it preserves the privacy *) +(* But abstract messes everything up *) +Fail let H' := H in abstract exact H'. +let H' := H in exact H'. +Qed. + +(* Variant *) + +Goal False -> False. +intro. +Fail let H' := H in abstract exact H'. +Abort. + +(* Indirectly testing preservation of names by move (derived from Jason) *) + +Inductive nat2 := S2 (_ _ : nat2). +Goal forall t : nat2, True. + intro t. + let IHt1 := fresh "IHt1" in + let IHt2 := fresh "IHt2" in + induction t as [? IHt1 ? IHt2]. + Fail exact IHt1. +Abort. + +(* Example on "pose proof" (from Jason) *) + +Goal False -> False. +intro; pose proof I as H0. +Fail exact H. +Abort. + +(* Testing the approach for which non alpha-renamed quantified names are user-generated *) + +Section foo. +Context (b : True). +Goal forall b : False, b = b. +Fail destruct b0. +Abort. + +Goal forall b : False, b = b. +now destruct b. +Qed. +End foo. + +(* Test stability of "fix" *) + +Lemma a : forall n, n = 0. +Proof. +fix a 1. +Check a. +Fail fix a 1. +Abort. + +(* Test stability of "induction" *) + +Lemma a : forall n : nat, n = n. +Proof. +intro n; induction n as [ | n IHn ]. +- auto. +- Check n. + Check IHn. +Abort. + +Inductive I := C : I -> I -> I. + +Lemma a : forall n : I, n = n. +Proof. +intro n; induction n as [ n1 IHn1 n2 IHn2 ]. +Check n1. +Check n2. +apply f_equal2. ++ apply IHn1. ++ apply IHn2. +Qed. + +(* Testing remember *) + +Lemma c : 0 = 0. +Proof. +remember 0 as x eqn:Heqx. +Check Heqx. +Abort. + +Lemma c : forall Heqx, Heqx -> 0 = 0. +Proof. +intros Heqx X. +remember 0 as x. +Fail Check Heqx0. (* Heqx0 is not canonical *) +Abort. + +(* An example by Jason from the discussion for PR #268 *) + +Goal nat -> Set -> True. + intros x y. + match goal with + | [ x : _, y : _ |- _ ] + => let z := fresh "z" in + rename y into z, x into y; + let x' := fresh "x" in + rename z into x' + end. + revert y. (* x has been explicitly moved to y *) + Fail revert x. (* x comes from "fresh" *) +Abort. + +Goal nat -> Set -> True. + intros. + match goal with + | [ x : _, y : _ |- _ ] + => let z := fresh "z" in + rename y into z, x into y; + let x' := fresh "x" in + rename z into x' + end. + Fail revert y. (* generated by intros *) + Fail revert x. (* generated by intros *) +Abort. diff --git a/test-suite/success/polymorphism.v b/test-suite/success/polymorphism.v index 878875bd..d76b3079 100644 --- a/test-suite/success/polymorphism.v +++ b/test-suite/success/polymorphism.v @@ -156,6 +156,58 @@ Polymorphic Definition twoprojs (d : dyn) := dyn_proof d = dyn_proof d. End structures. + +Module binders. + + Definition mynat@{|} := nat. + + Definition foo@{i j | i < j, i < j} (A : Type@{i}) : Type@{j}. + exact A. + Defined. + + Definition nomoreu@{i j | i < j +} (A : Type@{i}) : Type@{j}. + pose(foo:=Type). + exact A. + Fail Defined. + Abort. + + Polymorphic Definition moreu@{i j +} (A : Type@{i}) : Type@{j}. + pose(foo:=Type). + exact A. + Defined. + + Check moreu@{_ _ _ _}. + + Fail Definition morec@{i j|} (A : Type@{i}) : Type@{j} := A. + + (* By default constraints are extensible *) + Polymorphic Definition morec@{i j} (A : Type@{i}) : Type@{j} := A. + Check morec@{_ _}. + + (* Handled in proofs as well *) + Lemma bar@{i j | } : Type@{i}. + exact Type@{j}. + Fail Defined. + Abort. + + Fail Lemma bar@{u v | } : let x := (fun x => x) : Type@{u} -> Type@{v} in nat. + + Lemma bar@{i j| i < j} : Type@{j}. + Proof. + exact Type@{i}. + Qed. + + Lemma barext@{i j|+} : Type@{j}. + Proof. + exact Type@{i}. + Qed. + + Monomorphic Universe M. + Fail Definition with_mono@{u|} : Type@{M} := Type@{u}. + Definition with_mono@{u|u < M} : Type@{M} := Type@{u}. + +End binders. + Section cats. Local Set Universe Polymorphism. Require Import Utf8. @@ -321,4 +373,98 @@ Definition unwrap' := fun (X : Type) (b : box X) => let (unw) := b in unw. Fail Definition bad : False := TypeNeqSmallType.paradox (unwrap' Type (wrap _ Type)) eq_refl. -End Hurkens'.
\ No newline at end of file +End Hurkens'. + +Module Anonymous. + Set Universe Polymorphism. + + Definition defaultid := (fun x => x) : Type -> Type. + Definition collapseid := defaultid@{_ _}. + Check collapseid@{_}. + + Definition anonid := (fun x => x) : Type -> Type@{_}. + Check anonid@{_}. + + Definition defaultalg := (fun x : Type => x) (Type : Type). + Definition usedefaultalg := defaultalg@{_ _ _}. + Check usedefaultalg@{_ _}. + + Definition anonalg := (fun x : Type@{_} => x) (Type : Type). + Check anonalg@{_ _}. + + Definition unrelated@{i j} := nat. + Definition useunrelated := unrelated@{_ _}. + Check useunrelated@{_ _}. + + Definition inthemiddle@{i j k} := + let _ := defaultid@{i j} in + anonalg@{k j}. + (* i <= j < k *) + Definition collapsethemiddle := inthemiddle@{i _ j}. + Check collapsethemiddle@{_ _}. + +End Anonymous. + +Module Restrict. + (* Universes which don't appear in the term should be pruned, unless they have names *) + Set Universe Polymorphism. + + Ltac exact0 := let x := constr:(Type) in exact 0. + Definition dummy_pruned@{} : nat := ltac:(exact0). + + Definition named_not_pruned@{u} : nat := 0. + Check named_not_pruned@{_}. + + Definition named_not_pruned_nonstrict : nat := ltac:(let x := constr:(Type@{u}) in exact 0). + Check named_not_pruned_nonstrict@{_}. + + Lemma lemma_restrict_poly@{} : nat. + Proof. exact0. Defined. + + Unset Universe Polymorphism. + Lemma lemma_restrict_mono_qed@{} : nat. + Proof. exact0. Qed. + + Lemma lemma_restrict_abstract@{} : nat. + Proof. abstract exact0. Qed. + +End Restrict. + +Module F. + Context {A B : Type}. + Definition foo : Type := B. +End F. + +Set Universe Polymorphism. + +Cumulative Record box (X : Type) (T := Type) : Type := wrap { unwrap : T }. + +Section test_letin_subtyping. + Universe i j k i' j' k'. + Constraint j < j'. + + Context (W : Type) (X : box@{i j k} W). + Definition Y := X : box@{i' j' k'} W. + + Universe i1 j1 k1 i2 j2 k2. + Constraint i1 < i2. + Constraint k2 < k1. + Context (V : Type). + + Definition Z : box@{i1 j1 k1} V := {| unwrap := V |}. + Definition Z' : box@{i2 j2 k2} V := {| unwrap := V |}. + Lemma ZZ' : @eq (box@{i2 j2 k2} V) Z Z'. + Proof. + Set Printing All. Set Printing Universes. + cbv. + reflexivity. + Qed. + +End test_letin_subtyping. + +Module ObligationRegression. + (** Test for a regression encountered when fixing obligations for + stronger restriction of universe context. *) + Require Import CMorphisms. + Check trans_co_eq_inv_arrow_morphism@{_ _ _ _ _ _ _ _}. +End ObligationRegression. diff --git a/test-suite/success/primitiveproj.v b/test-suite/success/primitiveproj.v index 2fa77049..31a1608c 100644 --- a/test-suite/success/primitiveproj.v +++ b/test-suite/success/primitiveproj.v @@ -1,5 +1,5 @@ Set Primitive Projections. -Set Record Elimination Schemes. +Set Nonrecursive Elimination Schemes. Module Prim. Record F := { a : nat; b : a = a }. @@ -181,7 +181,10 @@ Record wrap (A : Type) := { unwrap : A; unwrap2 : A }. Definition term (x : wrap nat) := x.(unwrap). Definition term' (x : wrap nat) := let f := (@unwrap2 nat) in f x. + +Require Coq.extraction.Extraction. Recursive Extraction term term'. +Extraction TestCompile term term'. (*Unset Printing Primitive Projection Parameters.*) (* Primitive projections in the presence of let-ins (was not failing in beta3)*) diff --git a/test-suite/success/programequality.v b/test-suite/success/programequality.v index 414c572f..05f4a718 100644 --- a/test-suite/success/programequality.v +++ b/test-suite/success/programequality.v @@ -10,4 +10,4 @@ Proof. pi_eq_proofs. clear e. destruct e'. simpl. change (P a eq_refl). -Abort.
\ No newline at end of file +Abort. diff --git a/test-suite/success/qed_export.v b/test-suite/success/qed_export.v deleted file mode 100644 index b3e41ab1..00000000 --- a/test-suite/success/qed_export.v +++ /dev/null @@ -1,18 +0,0 @@ -Lemma a : True. -Proof. -assert True as H. - abstract (trivial) using exported_seff. -exact H. -Fail Qed exporting a_subproof. -Qed exporting exported_seff. -Check ( exported_seff : True ). - -Lemma b : True. -Proof. -assert True as H. - abstract (trivial) using exported_seff2. -exact H. -Qed. - -Fail Check ( exported_seff2 : True ). - diff --git a/test-suite/success/record_syntax.v b/test-suite/success/record_syntax.v index db2bbb0d..07a5bc06 100644 --- a/test-suite/success/record_syntax.v +++ b/test-suite/success/record_syntax.v @@ -45,3 +45,11 @@ Record Foo := { foo : unit; }. Definition foo_ := {| foo := tt; |}. End E. + +Module F. + +Record Foo := { foo : nat * nat -> nat -> nat }. + +Definition foo_ := {| foo '(x,y) n := x+y+n |}. + +End F. diff --git a/test-suite/success/refine.v b/test-suite/success/refine.v index 352abb2a..22fb4d75 100644 --- a/test-suite/success/refine.v +++ b/test-suite/success/refine.v @@ -31,7 +31,7 @@ Proof. end). Abort. -(* Submitted by Roland Zumkeller (bug #888) *) +(* Submitted by Roland Zumkeller (BZ#888) *) (* The Fix and CoFix rules expect a subgoal even for closed components of the (co-)fixpoint *) @@ -43,7 +43,7 @@ Goal nat -> nat. exact 0. Qed. -(* Submitted by Roland Zumkeller (bug #889) *) +(* Submitted by Roland Zumkeller (BZ#889) *) (* The types of metas were in metamap and they were not updated when passing through a binder *) @@ -56,7 +56,7 @@ Goal forall n : nat, nat -> n = 0. end). Abort. -(* Submitted by Roland Zumkeller (bug #931) *) +(* Submitted by Roland Zumkeller (BZ#931) *) (* Don't turn dependent evar into metas *) Goal (forall n : nat, n = 0 -> Prop) -> Prop. @@ -65,7 +65,7 @@ intro P. reflexivity. Abort. -(* Submitted by Jacek Chrzaszcz (bug #1102) *) +(* Submitted by Jacek Chrzaszcz (BZ#1102) *) (* le problème a été résolu ici par normalisation des evars présentes dans les types d'evars, mais le problème reste a priori ouvert dans @@ -122,3 +122,13 @@ Abort. Goal (forall A : Prop, A -> ~~A). Proof. refine(fun A a f => _). + +(* Checking beta-iota normalization of hypotheses in created evars *) + +Goal {x|x=0} -> True. +refine (fun y => let (x,a) := y in _). +match goal with a:_=0 |- _ => idtac end. + +Goal (forall P, {P 0}+{P 1}) -> True. +refine (fun H => if H (fun x => x=x) then _ else _). +match goal with _:0=0 |- _ => idtac end. diff --git a/test-suite/success/rewrite.v b/test-suite/success/rewrite.v index 62249666..448d0082 100644 --- a/test-suite/success/rewrite.v +++ b/test-suite/success/rewrite.v @@ -151,10 +151,25 @@ Abort. (* Check that rewriting within evars still work (was broken in 8.5beta1) *) - Goal forall (a: unit) (H: a = tt), exists x y:nat, x = y. intros; eexists; eexists. rewrite H. Undo. subst. Abort. + +(* Check that iterated rewriting does not rewrite in the side conditions *) +(* Example from Sigurd Schneider, extracted from contrib containers *) + +Lemma EQ + : forall (e e' : nat), True -> e = e'. +Admitted. + +Lemma test (v1 v2 v3: nat) (v' : v1 = v2) : v2 = v1. +Proof. + rewrite <- (EQ v1 v2) in *. + exact v'. + (* There should be only two side conditions *) + exact I. + exact I. +Qed. diff --git a/test-suite/success/rewrite_dep.v b/test-suite/success/rewrite_dep.v index d0aafd38..d73864e4 100644 --- a/test-suite/success/rewrite_dep.v +++ b/test-suite/success/rewrite_dep.v @@ -31,4 +31,4 @@ Proof. intros. rewrite H0. reflexivity. -Qed.
\ No newline at end of file +Qed. diff --git a/test-suite/success/rewrite_evar.v b/test-suite/success/rewrite_evar.v new file mode 100644 index 00000000..f7ad261c --- /dev/null +++ b/test-suite/success/rewrite_evar.v @@ -0,0 +1,8 @@ +Require Import Coq.Setoids.Setoid. + +Goal forall (T2 MT1 MT2 : Type) (x : T2) (M2 m2 : MT2) (M1 m1 : MT1) (F : T2 -> MT1 -> MT2 -> Prop), + (forall (defaultB : T2) (m3 : MT1) (m4 : MT2), F defaultB m3 m4 <-> True) -> F x M1 M2 -> F x m1 m2. + intros ????????? H' H. + rewrite (H' _) in *. + (** The above rewrite should also rewrite in H. *) + Fail progress rewrite H' in H. diff --git a/test-suite/success/rewrite_strat.v b/test-suite/success/rewrite_strat.v index 04c67556..a6e59fdd 100644 --- a/test-suite/success/rewrite_strat.v +++ b/test-suite/success/rewrite_strat.v @@ -50,4 +50,4 @@ Proof. Time Qed. (* 0.06 s *) Set Printing All. -Set Printing Depth 100000.
\ No newline at end of file +Set Printing Depth 100000. diff --git a/test-suite/success/setoid_test.v b/test-suite/success/setoid_test.v index 1f24ef2a..c8dfcd2c 100644 --- a/test-suite/success/setoid_test.v +++ b/test-suite/success/setoid_test.v @@ -33,7 +33,8 @@ Qed. Add Setoid set same setoid_set as setsetoid. -Add Morphism In : In_ext. +Add Morphism In with signature (eq ==> same ==> iff) as In_ext. +Proof. unfold same; intros a s t H; elim (H a); auto. Qed. @@ -50,10 +51,9 @@ simpl; right. apply (H2 H1). Qed. -Add Morphism Add : Add_ext. +Add Morphism Add with signature (eq ==> same ==> same) as Add_ext. split; apply add_aux. assumption. - rewrite H. reflexivity. Qed. @@ -90,7 +90,7 @@ Qed. Parameter P : set -> Prop. Parameter P_ext : forall s t : set, same s t -> P s -> P t. -Add Morphism P : P_extt. +Add Morphism P with signature (same ==> iff) as P_extt. intros; split; apply P_ext; (assumption || apply (Seq_sym _ _ setoid_set); assumption). Qed. @@ -113,7 +113,7 @@ Definition f: forall A : Set, A -> A := fun A x => x. Add Relation (id A) (rel A) as eq_rel. -Add Morphism (@f A) : f_morph. +Add Morphism (@f A) with signature (eq ==> eq) as f_morph. Proof. unfold rel, f. trivial. Qed. diff --git a/test-suite/success/setoid_test2.v b/test-suite/success/setoid_test2.v index 6baf7970..79467e54 100644 --- a/test-suite/success/setoid_test2.v +++ b/test-suite/success/setoid_test2.v @@ -134,8 +134,8 @@ Axiom SetoidS2 : Setoid_Theory S2 eqS2. Add Setoid S2 eqS2 SetoidS2 as S2setoid. Axiom f : S1 -> nat -> S2. -Add Morphism f : f_compat. Admitted. -Add Morphism f : f_compat2. Admitted. +Add Morphism f with signature (eqS1 ==> eq ==> eqS2) as f_compat. Admitted. +Add Morphism f with signature (eqS1 ==> eq ==> eqS2) as f_compat2. Admitted. Theorem test1: forall x y, (eqS1 x y) -> (eqS2 (f x 0) (f y 0)). intros. @@ -151,7 +151,7 @@ Theorem test1': forall x y, (eqS1 x y) -> (eqS2 (f x 0) (f y 0)). Qed. Axiom g : S1 -> S2 -> nat. -Add Morphism g : g_compat. Admitted. +Add Morphism g with signature (eqS1 ==> eqS2 ==> eq) as g_compat. Admitted. Axiom P : nat -> Prop. Theorem test2: @@ -190,13 +190,13 @@ Theorem test5: Qed. Axiom f_test6 : S2 -> Prop. -Add Morphism f_test6 : f_test6_compat. Admitted. +Add Morphism f_test6 with signature (eqS2 ==> iff) as f_test6_compat. Admitted. Axiom g_test6 : bool -> S2. -Add Morphism g_test6 : g_test6_compat. Admitted. +Add Morphism g_test6 with signature (eq ==> eqS2) as g_test6_compat. Admitted. Axiom h_test6 : S1 -> bool. -Add Morphism h_test6 : h_test6_compat. Admitted. +Add Morphism h_test6 with signature (eqS1 ==> eq) as h_test6_compat. Admitted. Theorem test6: forall E1 E2, (eqS1 E1 E2) -> (f_test6 (g_test6 (h_test6 E2))) -> @@ -223,7 +223,7 @@ Add Setoid S1_test8 eqS1_test8 SetoidS1_test8 as S1_test8setoid. Instance eqS1_test8_default : DefaultRelation eqS1_test8. Axiom f_test8 : S2 -> S1_test8. -Add Morphism f_test8 : f_compat_test8. Admitted. +Add Morphism f_test8 with signature (eqS2 ==> eqS1_test8) as f_compat_test8. Admitted. Axiom eqS1_test8': S1_test8 -> S1_test8 -> Prop. Axiom SetoidS1_test8' : Setoid_Theory S1_test8 eqS1_test8'. @@ -233,7 +233,7 @@ Add Setoid S1_test8 eqS1_test8' SetoidS1_test8' as S1_test8setoid'. (S1_test8, eqS1_test8'). However this does not happen and there is still no syntax for it ;-( *) Axiom g_test8 : S1_test8 -> S2. -Add Morphism g_test8 : g_compat_test8. Admitted. +Add Morphism g_test8 with signature (eqS1_test8 ==> eqS2) as g_compat_test8. Admitted. Theorem test8: forall x x': S2, (eqS2 x x') -> diff --git a/test-suite/success/shrink_abstract.v b/test-suite/success/shrink_abstract.v index 3f6b9cb3..916bb846 100644 --- a/test-suite/success/shrink_abstract.v +++ b/test-suite/success/shrink_abstract.v @@ -1,5 +1,3 @@ -Set Shrink Abstract. - Definition foo : forall (n m : nat), bool. Proof. pose (p := 0). diff --git a/test-suite/success/simpl.v b/test-suite/success/simpl.v index 5b87e877..1bfb8580 100644 --- a/test-suite/success/simpl.v +++ b/test-suite/success/simpl.v @@ -1,6 +1,6 @@ Require Import TestSuite.admit. (* Check that inversion of names of mutual inductive fixpoints works *) -(* (cf bug #1031) *) +(* (cf BZ#1031) *) Inductive tree : Set := | node : nat -> forest -> tree diff --git a/test-suite/success/specialize.v b/test-suite/success/specialize.v index fba05cd9..f12db8b0 100644 --- a/test-suite/success/specialize.v +++ b/test-suite/success/specialize.v @@ -17,6 +17,29 @@ specialize (eq_trans (x:=a)(y:=b)). intros _. specialize (eq_trans H H0). intros _. specialize (eq_trans H0 (z:=b)). intros _. +(* incomplete bindings: y is left quantified and z is instantiated. *) +specialize eq_trans with (x:=a)(z:=c). +intro h. +(* y can be instantiated now *) +specialize h with (y:=b). +(* z was instantiated above so this must fail. *) +Fail specialize h with (z:=c). +clear h. + +(* incomplete bindings: 1st dep hyp is instantiated thus A, x and y + instantiated too. *) +specialize eq_trans with (1:=H). +intro h. +(* 2nd dep hyp can be instantiated now, which instatiates z too. *) +specialize h with (1:=H0). +(* checking that there is no more products in h. *) +match type of h with +| _ = _ => idtac +| _ => fail "specialize test failed: hypothesis h should be an equality at this point" +end. +clear h. + + (* local "in place" specialization *) assert (Eq:=eq_trans). @@ -31,6 +54,27 @@ specialize (Eq _ a b c). Undo. specialize (Eq _ _ _ _ H H0). Undo. specialize (Eq _ _ _ b H0). Undo. +(* incomplete binding *) +specialize Eq with (y:=b). +(* A and y have been instantiated so this works *) +specialize (Eq _ _ H H0). +Undo 2. + +(* incomplete binding (dependent) *) +specialize Eq with (1:=H). +(* A, x and y have been instantiated so this works *) +specialize (Eq _ H0). +Undo 2. + +(* incomplete binding (dependent) *) +specialize Eq with (1:=H) (2:=H0). +(* A, x and y have been instantiated so this works *) +match type of Eq with +| _ = _ => idtac +| _ => fail "specialize test failed: hypothesis Eq should be an equality at this point" +end. +Undo 2. + (* (** strange behavior to inspect more precisely *) @@ -40,7 +84,7 @@ specialize (Eq _ _ _ b H0). Undo. (* 2) echoue moins lorsque zero premise de mangé *) specialize eq_trans with (1:=Eq). (* mal typé !! *) -(* 3) *) +(* 3) Seems fixed.*) specialize eq_trans with _ a b c. intros _. (* Anomaly: Evar ?88 was not declared. Please report. *) *) @@ -72,3 +116,11 @@ intros. specialize (H 1) as ->. reflexivity. Qed. + +(* A test from corn *) + +Goal (forall x y, x=0 -> y=0 -> True) -> True. +intros. +specialize (fun z => H 0 z eq_refl). +exact (H 0 eq_refl). +Qed. diff --git a/test-suite/success/ssr_delayed_clear_rename.v b/test-suite/success/ssr_delayed_clear_rename.v new file mode 100644 index 00000000..951e5aff --- /dev/null +++ b/test-suite/success/ssr_delayed_clear_rename.v @@ -0,0 +1,5 @@ +Require Import ssreflect. +Example foo (t t1 t2 : True) : True /\ True -> True -> True. +Proof. +move=>[{t1 t2 t} t1 t2] t. +Abort. diff --git a/test-suite/success/transparent_abstract.v b/test-suite/success/transparent_abstract.v new file mode 100644 index 00000000..ff4509c4 --- /dev/null +++ b/test-suite/success/transparent_abstract.v @@ -0,0 +1,21 @@ +Class by_transparent_abstract {T} (x : T) := make_by_transparent_abstract : T. +Hint Extern 0 (@by_transparent_abstract ?T ?x) => change T; transparent_abstract exact_no_check x : typeclass_instances. + +Goal True /\ True. +Proof. + split. + transparent_abstract exact I using foo. + let x := (eval hnf in foo) in constr_eq x I. + let x := constr:(ltac:(constructor) : True) in + let T := type of x in + let x := constr:(_ : by_transparent_abstract x) in + let x := (eval cbv delta [by_transparent_abstract] in (let y : T := x in y)) in + pose x as x'. + simpl in x'. + let v := eval cbv [x'] in x' in tryif constr_eq v I then fail 0 else idtac. + hnf in x'. + let v := eval cbv [x'] in x' in tryif constr_eq v I then idtac else fail 0. + exact x'. +Defined. +Check eq_refl : I = foo. +Eval compute in foo. diff --git a/test-suite/success/unfold.v b/test-suite/success/unfold.v index d595cbc2..de8aa252 100644 --- a/test-suite/success/unfold.v +++ b/test-suite/success/unfold.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (* Test le Hint Unfold sur des var locales *) diff --git a/test-suite/success/unidecls.v b/test-suite/success/unidecls.v new file mode 100644 index 00000000..c4a1d7c2 --- /dev/null +++ b/test-suite/success/unidecls.v @@ -0,0 +1,121 @@ +Set Printing Universes. + +Module unidecls. + Universes a b. +End unidecls. + +Universe a. + +Constraint a < unidecls.a. + +Print Universes. + +(** These are different universes *) +Check Type@{a}. +Check Type@{unidecls.a}. + +Check Type@{unidecls.b}. + +Fail Check Type@{unidecls.c}. + +Fail Check Type@{i}. +Universe foo. +Module Foo. + (** Already declared globaly: but universe names are scoped at the module level *) + Universe foo. + Universe bar. + + Check Type@{Foo.foo}. + Definition bar := 0. +End Foo. + +(** Already declared in the module *) +Universe bar. + +(** Accessible outside the module: universe declarations are global *) +Check Type@{bar}. +Check Type@{Foo.bar}. + +Check Type@{Foo.foo}. +(** The same *) +Check Type@{foo}. +Check Type@{Top.foo}. + +Universe secfoo. +Section Foo'. + Fail Universe secfoo. + Universe secfoo2. + Check Type@{Foo'.secfoo2}. + Constraint secfoo2 < a. +End Foo'. + +Check Type@{secfoo2}. +Fail Check Type@{Foo'.secfoo2}. +Fail Check eq_refl : Type@{secfoo2} = Type@{a}. + +(** Below, u and v are global, fixed universes *) +Module Type Arg. + Universe u. + Parameter T: Type@{u}. +End Arg. + +Module Fn(A : Arg). + Universes v. + + Check Type@{A.u}. + Constraint A.u < v. + + Definition foo : Type@{v} := nat. + Definition bar : Type@{A.u} := nat. + + Fail Definition foo(A : Type@{v}) : Type@{A.u} := A. +End Fn. + +Module ArgImpl : Arg. + Definition T := nat. +End ArgImpl. + +Module ArgImpl2 : Arg. + Definition T := bool. +End ArgImpl2. + +(** Two applications of the functor result in the exact same universes *) +Module FnApp := Fn(ArgImpl). + +Check Type@{FnApp.v}. +Check FnApp.foo. +Check FnApp.bar. + +Check (eq_refl : Type@{ArgImpl.u} = Type@{ArgImpl2.u}). + +Module FnApp2 := Fn(ArgImpl). +Check Type@{FnApp2.v}. +Check FnApp2.foo. +Check FnApp2.bar. + +Import ArgImpl2. +(** Now u refers to ArgImpl.u and ArgImpl2.u *) +Check FnApp2.bar. + +(** It can be shadowed *) +Universe u. + +(** This refers to the qualified name *) +Check FnApp2.bar. + +Constraint u = ArgImpl.u. +Print Universes. + +Set Universe Polymorphism. + +Section PS. + Universe poly. + + Definition id (A : Type@{poly}) (a : A) : A := a. +End PS. +(** The universe is polymorphic and discharged, does not persist *) +Fail Check Type@{poly}. + +Print Universes. +Check id nat. +Check id@{Set}. diff --git a/test-suite/success/unification.v b/test-suite/success/unification.v index 296686e1..1ffc0267 100644 --- a/test-suite/success/unification.v +++ b/test-suite/success/unification.v @@ -43,7 +43,7 @@ Check (fun _h1 => (zenon_notall nat _ (fun _T_0 => (fun _h2 => (zenon_noteq _ _T_0 _h2))) _h1)). -(* Core of an example submitted by Ralph Matthes (#849) +(* Core of an example submitted by Ralph Matthes (BZ#849) It used to fail because of the K-variable x in the type of "sum_rec ..." which was not in the scope of the evar ?B. Solved by a head @@ -131,7 +131,7 @@ try case nonemptyT_intro. (* check that it fails w/o anomaly *) Abort. (* Test handling of return type and when it is decided to make the - predicate dependent or not - see "bug" #1851 *) + predicate dependent or not - see "bug" BZ#1851 *) Goal forall X (a:X) (f':nat -> X), (exists f : nat -> X, True). intros. @@ -188,3 +188,14 @@ Proof. apply idpath. apply idpath. Defined. + +(* An example where it is necessary to evar-normalize the instance of + an evar to evaluate if it is a pattern *) + +Check + let a := ?[P] in + fun (H : forall y (P : nat -> Prop), y = 0 -> P y) + x (p:x=0) => + H ?[y] a p : x = 0. +(* We have to solve "?P ?y[x] == x = 0" knowing from + "p : (x=0) == (?y[x] = 0)" that "?y := x" *) diff --git a/test-suite/success/univers.v b/test-suite/success/univers.v index 269359ae..28634045 100644 --- a/test-suite/success/univers.v +++ b/test-suite/success/univers.v @@ -20,8 +20,7 @@ intro P; pattern P. apply lem2. Abort. -(* Check managing of universe constraints in inversion *) -(* Bug report #855 *) +(* Check managing of universe constraints in inversion (BZ#855) *) Inductive dep_eq : forall X : Type, X -> X -> Prop := | intro_eq : forall (X : Type) (f : X), dep_eq X f f @@ -40,7 +39,7 @@ Proof. Abort. -(* Submitted by Bas Spitters (bug report #935) *) +(* Submitted by Bas Spitters (BZ#935) *) (* This is a problem with the status of the type in LetIn: is it a user-provided one or an inferred one? At the current time, the @@ -76,4 +75,4 @@ End Ind. Module Rec. Record box_in : myType := BoxIn { coord :> nat * nat; _ : is_box_in_shape coord }. -End Rec.
\ No newline at end of file +End Rec. diff --git a/test-suite/success/univnames.v b/test-suite/success/univnames.v index 048b53d2..fe3b8c1d 100644 --- a/test-suite/success/univnames.v +++ b/test-suite/success/univnames.v @@ -21,6 +21,17 @@ Inductive bla@{l k} : Type@{k} := blaI : Type@{l} -> bla. Inductive blacopy@{k l} : Type@{k} := blacopyI : Type@{l} -> blacopy. +Class Wrap A := wrap : A. + +Fail Instance bad@{} : Wrap Type := Type. + +Instance bad@{} : Wrap Type. +Fail Proof Type. +Abort. + +Instance bar@{u} : Wrap@{u} Set. Proof nat. + + Monomorphic Universe g. -Inductive blacopy'@{l} : Type@{g} := blacopy'I : Type@{l} -> blacopy'.
\ No newline at end of file +Inductive blacopy'@{l} : Type@{g} := blacopy'I : Type@{l} -> blacopy'. diff --git a/test-suite/success/unshelve.v b/test-suite/success/unshelve.v index 672222bd..a4fa544c 100644 --- a/test-suite/success/unshelve.v +++ b/test-suite/success/unshelve.v @@ -9,3 +9,11 @@ unshelve (refine (F _ _ _ _)). + exact (@eq_refl bool true). + exact (@eq_refl unit tt). Qed. + +(* This was failing in 8.6, because of ?a:nat being wrongly duplicated *) + +Goal (forall a : nat, a = 0 -> True) -> True. +intros F. +unshelve (eapply (F _);clear F). +2:reflexivity. +Qed. diff --git a/test-suite/success/vm_evars.v b/test-suite/success/vm_evars.v new file mode 100644 index 00000000..2c8b099e --- /dev/null +++ b/test-suite/success/vm_evars.v @@ -0,0 +1,23 @@ +Fixpoint iter {A} (n : nat) (f : A -> A) (x : A) := +match n with +| 0 => x +| S n => iter n f (f x) +end. + +Goal nat -> True. +Proof. +intros n. +evar (f : nat -> nat). +cut (iter 10 f 0 = 0). +vm_compute. +intros; constructor. +instantiate (f := (fun x => x)). +reflexivity. +Qed. + +Goal exists x, x = 5 + 5. +Proof. + eexists. + vm_compute. + reflexivity. +Qed. |