Math 2.0

Concept

Universal generalization

Summary

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

Further reading

  1. Wikipedia, page 939333, revision 1316812016, Universal generalization. adopted
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TagBKQ3YD6SVZ
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Aliasesgeneralisation-logic, generalization-logic, universal-generalisation
Kindconcept
WritingW1 stated
Same as
Changed4 November 2026

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