# Generic Instantiation

Currently, the proposal mentions that the carrier sets can be instantiated to any set expressions (which contains existing carrier sets and constants). Beside the declared axioms in the development to be extended there are two hidden axioms about a carrier set S<code> 
$\begin{eqarray}   S \neq \emptyset \end{eqarray}$ 
$\forall x \qdot x \in S$