A "catch-all" for SFINAE functions?

I am trying to make a typed compare function that do some customized comparison for different types.

 #include <type_traits>

template <typename T>
bool typedCompare(const T& lhs, const T& rhs)
{
    return lhs == rhs; // default case, use ==
}

template <typename T>
typename std::enable_if<std::is_floating_point<T>::value, bool>::type
typedCompare(const T& lhs, const T& rhs)
{
    return (lhs - rhs) < 1e-10;
}

int main()
{
    typedCompare(1, 1);
    typedCompare(1.0, 1.0);
    return 0;
}

Here I have a special version for double that compare the difference with a small amount (please ignore the fact that I did not use std::abs). I have a few other custom types that I need to do some special comparison, and I cannot change their == operator for some reason.

Besides, I still want to have a "catch-all" style function that employs the == operator. My problem is that when trying to compile this code snippet the compiler complains about that typedCompare(1.0, 1.0) is ambiguous, it can choose either of the two functions provided.

Why? And how could I resolve this issue?

Thanks.