The Deduction Theorem is a fundamental principle in mathematical logic that states if a formula B can be derived from a set of premises A, then the implication A implies B (written as A ⊢ B) can also be derived. This theorem establishes a crucial link between syntactic derivation and semantic implication, allowing for the transformation of assumptions into implications, which is essential for constructing formal proofs.
congrats on reading the definition of Deduction Theorem. now let's actually learn it.