metatheorem
nounEtymology From meta- + theorem.
1
Human sciences, Logic, Mathematics, Philosophy, Sciences A statement about theorems proven in a metalanguage.
- From these observations we conclude that we have the following metatheorem. Metatheorem 3: If φ is a theorem of second-order monadic predicate logic, then trs'(φ) is a theorem of our present conceptualist logic.2007, Nino B. Cocchiarella, Formal Ontology and Conceptual Realism, Springer Science & Business Media, →ISBN, page 224:
- The metatheorem of deduction will play an essential role ...2008, Walter Carnielli, Marcelo Coniglio, Dov M. Gabbay, Paula Gouveia, Cristina Sernadas, Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems, Springer Science & Business Media, →ISBN, page 70:
1 more example
- This paper presents a metatheorem with the following property: Given a proven axiom-free lemma, which interrelates some of the elementary properties of a binary relation, the metatheorem mechanically transforms this lemma into its uniquely corresponding complementary lemma.1977, Theory and decision: