diff options
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_085.v')
-rw-r--r-- | test-suite/bugs/closed/HoTT_coq_085.v | 74 |
1 files changed, 74 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_085.v b/test-suite/bugs/closed/HoTT_coq_085.v new file mode 100644 index 00000000..041c6799 --- /dev/null +++ b/test-suite/bugs/closed/HoTT_coq_085.v @@ -0,0 +1,74 @@ +Set Implicit Arguments. +Set Universe Polymorphism. + +Module success. + Unset Primitive Projections. + + Record category := + { ob : Type; + hom : ob -> ob -> Type; + comp : forall x y z, hom y z -> hom x y -> hom x z }. + + Delimit Scope hom_scope with hom. + Bind Scope hom_scope with hom. + Arguments hom : clear implicits. + Arguments comp _ _ _ _ _%hom _%hom : clear implicits. + + Notation "f 'o' g" := (comp _ _ _ _ f g) (at level 40, left associativity) : hom_scope. + + Record functor (C D : category) := + { ob_of : ob C -> ob D; + hom_of : forall x y, hom C x y -> hom D (ob_of x) (ob_of y) }. + + Delimit Scope functor_scope with functor. + Bind Scope functor_scope with functor. + + Arguments hom_of _ _ _%functor _ _ _%hom. + + Notation "F '_1' m" := (hom_of F _ _ m) (at level 10, no associativity) : hom_scope. + + Axiom f_comp : forall C D E, functor D E -> functor C D -> functor C E. + Notation "f 'o' g" := (@f_comp _ _ _ f g) (at level 40, left associativity) : functor_scope. + + Check ((_ o _) _1 _)%hom. (* ((?16 o ?17) _1 ?20)%hom + : hom ?15 (ob_of (?16 o ?17) ?18) (ob_of (?16 o ?17) ?19) *) +End success. + +Module failure. + Set Primitive Projections. + + Record category := + { ob : Type; + hom : ob -> ob -> Type; + comp : forall x y z, hom y z -> hom x y -> hom x z }. + + Delimit Scope hom_scope with hom. + Bind Scope hom_scope with hom. + Arguments hom : clear implicits. + Arguments comp _ _ _ _ _%hom _%hom : clear implicits. + + Notation "f 'o' g" := (comp _ _ _ _ f g) (at level 40, left associativity) : hom_scope. + + Record functor (C D : category) := + { ob_of : ob C -> ob D; + hom_of : forall x y, hom C x y -> hom D (ob_of x) (ob_of y) }. + + Delimit Scope functor_scope with functor. + Bind Scope functor_scope with functor. + + Arguments hom_of _ _ _%functor _ _ _%hom. + + Notation "F '_1' m" := (hom_of F _ _ m) (at level 10, no associativity) : hom_scope. + Notation "F '_2' m" := (hom_of F%functor _ _ m) (at level 10, no associativity) : hom_scope. + + Axiom f_comp : forall C D E, functor D E -> functor C D -> functor C E. + Notation "f 'o' g" := (@f_comp _ _ _ f g) (at level 40, left associativity) : functor_scope. + + Check ((_ o _) _2 _)%hom. (* ((?14 o ?15)%functor _1 ?18)%hom + : hom ?13 (ob_of (?14 o ?15)%functor ?16) + (ob_of (?14 o ?15)%functor ?17) *) + Check ((_ o _) _1 _)%hom. (* Toplevel input, characters 7-19: +Error: +The term "(?23 o ?24)%hom" has type "hom ?19 ?20 ?22" +while it is expected to have type "functor ?25 ?26". *) +End failure. |