Definition:Semantic Equivalence/Predicate Logic/Definition 2
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Definition
Let $\mathbf A, \mathbf B$ be WFFs of predicate logic.
Then $\mathbf A$ and $\mathbf B$ are equivalent if and only if:
- $\mathbf A \iff \mathbf B$ is a tautology
where $\iff$ is the biconditional connective.
Also see
Sources
- 2009: Kenneth Kunen: The Foundations of Mathematics ... (previous) ... (next): $\mathrm{II}.8$ Further Semantic Notions: Definition $\mathrm{II.8.1}$