Question: Use truth tables to verify that each of the following is a logical implication.

1. \([(p\to q)\uparrow (q\to r)]\to (p\to r)\)
2. \([(p\to q)\wedge \neg q]\to \neg p\)
3. \([(p\vee q)\wedge \neg p]\to q\)
4. \(t=[(p\to r)\wedge (q\to r)]\to [(p\vee q)\to r]\)

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