Material implication (rule of inference)

Material implication is a fundamental concept in propositional logic and is often represented by the logical connective "→" (if... then...). In essence, material implication expresses a relationship between two propositions, such that the implication \( P \rightarrow Q \) (read as "if P then Q") is true except in one specific scenario: when \( P \) is true and \( Q \) is false.