Implications-'If-then'

Conditional statements are the backbone of logical deduction — they tell us that if one thing happens, another must follow. In everyday life, we say "If it rains, then the ground gets wet," and in mathematics, we write $p \rightarrow q$, where $p$ is the hypothesis and $q$ is the conclusion. Understanding this "if-then" structure is crucial because it lets you trace the chain of reasoning from a given condition to its necessary outcome. Once you master the impl …