A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
A logical or mathematical argument that demonstrates the truth of a statement or theorem. Proofs rely on axioms, definitions, and…
The necessitation rule in modal logic states that if a proposition is provable (a theorem), then its necessity is also…
A lemma is a proven proposition used as a stepping stone to prove larger theorems. It's a foundational tool in…
A derivable rule is a logical rule that can be derived from the existing axioms and inference rules of a…
A corollary is a statement that follows directly from a proven theorem or proposition with minimal effort. It's a logical…