Meaning of metatheorem | Babel Free

Definitions

A statement about theorems proven in a metalanguage.

Examples

“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.”

“The metatheorem of deduction will play an essential role ...”

“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.”

CEFR level