Derivation is the process of establishing a result from a set of premises or axioms using logical rules. It's fundamental…
The universal introduction rule in predicate logic allows inferring a general statement about all members of a category. This is…
Transposition is a fundamental logical rule enabling the transformation of a conditional statement P → Q into its contrapositive ¬…
A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
Strong induction strengthens the inductive hypothesis, allowing the assumption that the proposition holds for all smaller cases. This powerful technique…
Proof by induction is a powerful mathematical technique used to prove statements for an infinite number of cases. It relies…
A method of mathematical proof where a statement is divided into several exhaustive cases. The statement is then proven to…
A logical or mathematical argument that demonstrates the truth of a statement or theorem. Proofs rely on axioms, definitions, and…
A logical theorem is a statement proven true within a formal system. It relies on axioms and inference rules, representing…
Existential generalization is a rule of inference that permits concluding that something exists with a specific property. This conclusion is…