If $p$ is true, and $q$ and $r$ are both false, is the statement true since the truth value of $p\land q$ is true? If $q$ does not have the same truth value of $r$, then is $q\land r$ false?
2026-03-30 08:37:32.1774859852
What is the truth table for $p \Rightarrow q\land r$?
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$$\begin{array}{c|c}p&q&r&q\land r&p\to q\land r\\\hline T&T&T&T&T\\T&T&F&F&F\\T&F&T&F&F\\T&F&F&F&F\\F&T&T&T&T\\F&T&F&F&T\\F&F&T&F&T\\F&F&F&F&T\end{array}$$