Universal generalization

In predicate logic, generalization (also universal generalization, universal introduction, GEN, UG) is a valid inference rule. It states that if ⊢ P ( x ) {\displaystyle \vdash \! P(x)} has been derived, then ⊢ ∀ x P ( x ) {\displaystyle \vdash \!

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Universal generalization

In predicate logic, generalization (also universal generalization, universal introduction, GEN, UG) is a valid inference rule. It states that if ⊢ P ( x ) {\displaystyle \vdash \! P(x)} has been derived, then ⊢ ∀ x P ( x ) {\displaystyle \vdash \!

Source: Wikipedia "Universal generalization" · CC BY-SA 4.0

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