Prev TOC Next Here are the key facts about forcing, as we’ve defined it. As before, φ is a closed formula in ℒ(PA+G). Extension Lemma: If p⊩*φ and q≥p, then q⊩*φ. Truth Lemma: If A is generic, then A⊩*φ iff (ℕ,A)⊧φ. Empty Condition Lemma: If φ belongs to ℒ(PA) (no G’s), then ∅⊩*φ iff ℕ⊧φ. […]
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