14.1 General Presentation
14.1 General Presentation
This section describes the inheritance mechanism of Coq. In Coq with
inheritance, we are not interested in adding any expressive power to
our theory, but only convenience. Given a term, possibly not typable,
we are interested in the problem of determining if it can be well
typed modulo insertion of appropriate coercions. We allow to write:
-
(f a) where f:(x:A)B and a:A' when A' can
be seen in some sense as a subtype of A.
- x:A when A is not a type, but can be seen in
a certain sense as a type: set, group, category etc.
- (f a) when f is not a function, but can be seen in a certain sense
as a function: bijection, functor, any structure morphism etc.
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