diff options
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_068.v')
-rw-r--r-- | test-suite/bugs/closed/HoTT_coq_068.v | 61 |
1 files changed, 61 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_068.v b/test-suite/bugs/closed/HoTT_coq_068.v new file mode 100644 index 00000000..f1cdcbf2 --- /dev/null +++ b/test-suite/bugs/closed/HoTT_coq_068.v @@ -0,0 +1,61 @@ +Generalizable All Variables. + +Inductive paths {A : Type} (a : A) : A -> Type := + idpath : paths a a. + +Notation "x = y :> A" := (@paths A x y) : type_scope. +Notation "x = y" := (x = y :>_) : type_scope. + +Module success. + Axiom bar : nat -> Type -> Type. + + Definition foo (n : nat) (A : Type) : Type := + match n with + | O => A + | S n' => forall x y : A, bar n' (x = y) + end. + + Definition foo_succ n A : foo (S n) A. + Admitted. + + Goal forall n (X Y : Type) (y : X) (x : X), bar n (x = y). + intros. + apply (foo_succ _ _). + Defined. +End success. + +Module failure. + Fixpoint bar (n : nat) (A : Type) : Type := + match n with + | O => A + | S n' => forall x y : A, bar n' (x = y) + end. + + Definition foo_succ n A : bar (S n) A. + Admitted. + + Goal forall n (X Y : Type) (y : X) (x : X), bar n (x = y). + intros. + apply foo_succ. + (* Toplevel input, characters 22-34: +Error: In environment +n : nat +X : Type +Y : Type +y : X +x : X +Unable to unify + "forall x0 y0 : ?16, + (fix bar (n : nat) (A : Type) {struct n} : Type := + match n with + | 0 => A + | S n' => forall x y : A, bar n' (x = y) + end) ?15 (x0 = y0)" with + "(fix bar (n : nat) (A : Type) {struct n} : Type := + match n with + | 0 => A + | S n' => forall x y : A, bar n' (x = y) + end) n (x = y)". +*) + Defined. +End failure. |