\begin{definition}[Definition:Semantic Equivalence/Boolean Interpretations/Definition 2]
Let $\mathbf A, \mathbf B$ be WFFs of propositional logic.
Then $\mathbf A$ and $\mathbf B$ are '''equivalent for boolean interpretations''' {{iff}}:
:$\map v {\mathbf A} = \map v {\mathbf B}$
for all boolean interpretations $v$.
\end{definition}