Deduction theorem: The deduction theorem is a metatheorem in logic that states that if a proposition B can be deduced from a proposition A, then the implication A → B is also deducible. In other words, if we can prove that B is true given that A is true, then we can also prove that A implies B.
The deduction theorem is a useful tool for proving theorems, as it allows us to break down complex proofs into smaller, more manageable steps._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |