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[Jason Gross <jasongross9 AT gmail.com>]

function_scope is useful if you have notations for things like function composition.  I think what Coq should actually do here is add two things to the scope stack: function_scope, and whatever corresponds to the codomain, if there is one.  So an argument of type [A -> bool] should be interpreted in %function_scope%bool_scope, and an argument of type [A -> Type] should be interpreted in type %function_scope%type_scope.

On Fri, Sep 15, 2017, 5:05 PM Guillaume Melquiond <guillaume.melquiond AT inria.fr> wrote:

On 15/09/2017 22:43, Guillaume Melquiond wrote:
>   Arguments sig (A P)%type.
>   Arguments sig2 (A P Q)%type.
>
> That said, I don't understand why P and Q are forced into type_scope.
> This does not make sense to me. They should have been left in
> function_scope.

Scrap that. I had forgotten that type_scope not only contains the type
constructors, but also the logical connectives, so it makes  lot of sense.

In fact, I now wonder if having Coq assigns the function_scope scope by
default is useful in practice. Assigning the scope corresponding to the
result type (assuming there is one) might be a more useful default behavior.

Best regards,

Guillaume