Using C++17 class template argument deduction, you should be able to do something like this:
template<typename A, typename B, typename C>
struct mytype { };
template<class T>
concept C1 = requires(T x) {
{ mytype{x} } -> std::same_as<T>;
};
mytype{x} uses class template argument deduction to deduce A, B and C, so this is valid if you can construct a mytype<A, B, C> from a T. In particular, this is valid if mytype is copy-constructible since you have an implicitly declared copy-deduction guide similar to:
template <typename A, typename B, typename C>
mytype(mytype<A, B, C>) -> mytype<A, B, C>;
Checking that T is also the constructed mytype instantiation avoid matching other deduction guides, e.g., this would match for any type without the -> std::same_as<T>:
template <class A, class B, class C>
struct mytype {
mytype(A);
};
template <class A>
mytype(A) -> mytype<A, A, A>;
The proposed solution does not work for non copy-constructible classes, even though should be possible to make it work for move-only classes.
Tested with clang and gcc: https://godbolt.org/z/ojdcrYqKv