ThmDex – An index of mathematical definitions, results, and conjectures.
Result R2067 on D70: Set difference
Subtracting empty set from set
Formulation 0
Let $X$ be a D11: Set.
Then \begin{equation} X \setminus \emptyset = X \end{equation}
Formulation 1
Let $X$ be a D11: Set.
Then \begin{equation} \emptyset^{\complement} = X \end{equation}
Formulation 2
Let $X$ be a D11: Set.
Then \begin{equation} \complement \emptyset = X \end{equation}