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Set Uniform Inductive Parameters.
Inductive list (A : Type) :=
| nil : list
| cons : A -> list -> list.
Check (list : Type -> Type).
Check (cons : forall A, A -> list A -> list A).
Inductive list2 (A : Type) (A' := prod A A) :=
| nil2 : list2
| cons2 : A' -> list2 -> list2.
Check (list2 : Type -> Type).
Check (cons2 : forall A (A' := prod A A), A' -> list2 A -> list2 A).
Inductive list3 | A := nil3 | cons3 : A -> list3 (A * A)%type -> list3 A.
Unset Uniform Inductive Parameters.
Inductive list4 A | := nil4 | cons4 : A -> list4 -> list4.
Inductive Acc {A:Type} (R:A->A->Prop) | (x:A) : Prop
:= Acc_in : (forall y, R y x -> Acc y) -> Acc x.
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