diff options
author | 2014-06-13 14:38:18 +0200 | |
---|---|---|
committer | 2014-06-13 17:40:27 +0200 | |
commit | f49137b917fa7561eb53a87155ed57b3dbc70d90 (patch) | |
tree | 4d209f1fa70c0204074c691e3b2be579a7d8e999 /test-suite/bugs/opened | |
parent | 1681238424c2d46e7a31467212d4daed4b30a827 (diff) |
HoTT/coq bug #7 is closed, and the definitions can be made to go through using explicit
universes. The behavior of Hint Rewrite still differs from Hint Resolve though.
Diffstat (limited to 'test-suite/bugs/opened')
-rw-r--r-- | test-suite/bugs/opened/HoTT_coq_007.v | 115 |
1 files changed, 0 insertions, 115 deletions
diff --git a/test-suite/bugs/opened/HoTT_coq_007.v b/test-suite/bugs/opened/HoTT_coq_007.v deleted file mode 100644 index f609aff5d..000000000 --- a/test-suite/bugs/opened/HoTT_coq_007.v +++ /dev/null @@ -1,115 +0,0 @@ -Module Comment1. - Set Implicit Arguments. - - Polymorphic Record Category (obj : Type) := - { - Morphism : obj -> obj -> Type; - Identity : forall o, Morphism o o - }. - - Polymorphic Record Functor objC (C :Category objC) objD (D : Category objD) := - { - ObjectOf :> objC -> objD; - MorphismOf : forall s d, C.(Morphism) s d -> D.(Morphism) (ObjectOf s) (ObjectOf d); - FIdentityOf : forall o, MorphismOf _ _ (C.(Identity) o) = D.(Identity) (ObjectOf o) - }. - - Create HintDb functor discriminated. - - Hint Rewrite @FIdentityOf : functor. - - Polymorphic Definition ComposeFunctors objC C objD D objE E (G : @Functor objD D objE E) (F : @Functor objC C objD D) : Functor C E. - refine {| ObjectOf := (fun c => G (F c)); - MorphismOf := (fun _ _ m => G.(MorphismOf) _ _ (F.(MorphismOf) _ _ m)) - |}; - intros; autorewrite with functor; reflexivity. - Defined. - - Definition Cat0 : Category Empty_set. - refine {| - Morphism := fun s d : Empty_set => s = d; - Identity := fun o : Empty_set => eq_refl - |}; - admit. - Defined. - - Set Printing All. - Set Printing Universes. - - Fail Lemma foo objC (C : @Category objC) (C0 : Category (Functor Cat0 C)) (x : Functor Cat0 Cat0) : forall (y : Functor C0 Cat0) z, (ComposeFunctors y z = x). (** ??? The term "y" has type - "@Functor (* Top.448 Top.449 Top.450 Top.451 *) - (@Functor (* Set Top.441 Top.442 Top.336 *) Empty_set Cat0 objC C) C0 - Empty_set Cat0" while it is expected to have type - "@Functor (* Top.295 Top.296 Top.295 Top.296 *) ?46 ?47 ?48 ?49" -(Universe inconsistency: Cannot enforce Set = Top.295)). *) - Fail intro. (* Illegal application (Type Error) *) - Fail Abort. -End Comment1. - -Module Comment2. - Set Implicit Arguments. - - Polymorphic Record Category (obj : Type) := - { - Morphism : obj -> obj -> Type; - - Identity : forall o, Morphism o o; - Compose : forall s d d2, Morphism d d2 -> Morphism s d -> Morphism s d2; - - LeftIdentity : forall a b (f : Morphism a b), Compose (Identity b) f = f - }. - - Polymorphic Record Functor objC (C : Category objC) objD (D : Category objD) := - { - ObjectOf : objC -> objD; - MorphismOf : forall s d, C.(Morphism) s d -> D.(Morphism) (ObjectOf s) (ObjectOf d) - }. - - Create HintDb morphism discriminated. - - Polymorphic Hint Resolve @LeftIdentity : morphism. - - Polymorphic Definition ProductCategory objC (C : Category objC) objD (D : Category objD) : @Category (objC * objD)%type. - refine {| - Morphism := (fun s d => (C.(Morphism) (fst s) (fst d) * D.(Morphism) (snd s) (snd d))%type); - Identity := (fun o => (Identity _ (fst o), Identity _ (snd o))); - Compose := (fun (s d d2 : (objC * objD)%type) m2 m1 => (C.(Compose) _ _ _ (fst m2) (fst m1), D.(Compose) _ _ _ (snd m2) (snd m1))) - |}; - intros; apply injective_projections; simpl; auto with morphism. (* Replacing [auto with morphism] with [apply @LeftIdentity] removes the error *) - Defined. - - Polymorphic Definition Cat0 : Category Empty_set. - refine {| - Morphism := fun s d : Empty_set => s = d; - Identity := fun o : Empty_set => eq_refl; - Compose := fun s d d2 m0 m1 => eq_trans m1 m0 - |}; - admit. - Defined. - - Set Printing All. - Set Printing Universes. - Polymorphic Definition ProductLaw0Functor (objC : Type) (C : Category objC) : Functor (ProductCategory C Cat0) Cat0. - refine (Build_Functor (ProductCategory C Cat0) Cat0 _ _). (* Toplevel input, characters 15-71: -Error: Refiner was given an argument - "prod (* Top.2289 Top.2289 *) objC Empty_set" of type -"Type (* Top.2289 *)" instead of "Set". *) - Abort. - Polymorphic Definition ProductLaw0Functor (objC : Type) (C : Category objC) : Functor (ProductCategory C Cat0) Cat0. - econstructor. (* Toplevel input, characters 0-12: -Error: No applicable tactic. - *) - Abort. -End Comment2. - - -Module Comment3. - Polymorphic Lemma foo {obj : Type} : 1 = 1. - trivial. - Qed. - - Polymorphic Hint Resolve foo. (* success *) - Polymorphic Hint Rewrite @foo. (* Success *) - Polymorphic Hint Resolve @foo. (* Error: @foo is a term and cannot be made a polymorphic hint, only global references can be polymorphic hints. *) - Fail Polymorphic Hint Rewrite foo. (* Error: Cannot infer the implicit parameter obj of foo. *) -End Comment3. |