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(* Interaction between coercions and casts *)
(* Example provided by Eduardo Gimenez *)
Parameter Z S : Set.
Parameter f : S -> Z.
Coercion f : S >-> Z.
Parameter g : Z -> Z.
Check (fun s => g (s:S)).
(* Check uniform inheritance condition *)
Parameter h : nat -> nat -> Prop.
Parameter i : forall n m : nat, h n m -> nat.
Coercion i : h >-> nat.
(* Check coercion to funclass when the source occurs in the target *)
Parameter C : nat -> nat -> nat.
Coercion C : nat >-> Funclass.
(* Remark: in the following example, it cannot be decide whether C is
from nat to Funclass or from A to nat. An explicit Coercion command is
expected
Parameter A : nat -> Prop.
Parameter C:> forall n:nat, A n -> nat.
*)
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