Definition:Boolean Interpretation/Formal Semantics/Invalid

Definition
Let $\phi$ be a WFF of propositional logic.

$\phi$ is declared ($\mathrm{BI}$-)invalid in a boolean interpretation $v$ iff:


 * $v \left({\phi}\right) = F$

Symbolically, this can be expressed as:


 * $v \not\models_{\mathrm{BI}} \phi$