{
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  "body": "\n## Summary\n\nIn predicate logic, **generalization** (also **universal generalization**, **universal introduction**, **GEN**, **UG**) is a valid inference rule. It states that if $\\vdash \\!P(x)$ has been derived, then $\\vdash \\!\\forall x \\, P(x)$ can be derived.\n",
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