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This condition ensures that every equivalence classes of the quotient set \( S / {\cong} \) is also an element of \( X / {\cong} \).
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We will give a verbose formulation as a buildup for \cref{thm:lattice_theorem_for_substructures/isomorphism}; the theorem is summarized in \ref{fig:thm:lattice_theorem_for_substructures}.
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We will give a verbose formulation as a buildup for \cref{thm:lattice_theorem_for_substructures/isomorphism}; the theorem is summarized in \cref{fig:thm:lattice_theorem_for_substructures}.
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