Semantic forcing relation
= Semantic forcing relation
{title2=$p\Vdash\varphi$}
For a <countable transitive model> $M$, semantic forcing declares $p\Vdash\varphi$ when every <generic filter> $G$ over $M$ containing $p$ gives $M[G]\models\varphi$.
= Semantic forcing relation
{title2=$p\Vdash\varphi$}
For a <countable transitive model> $M$, semantic forcing declares $p\Vdash\varphi$ when every <generic filter> $G$ over $M$ containing $p$ gives $M[G]\models\varphi$.