To prove that the statements p1, p2, p3, and p4 are equivalent, is if sufficient to show that the conditional statements p4→p2,p3→p1,and p1→p2 are valid? If not, provide another collection of conditional statements that can be used to show that the four statements arc equivalent.
We have to show whether it is possible to say that the statements are equivalent by the conditional statements
According to the law of SYLLOGISM, if the following statements are true
1)if A then B
2)if B then C
Then we can say that If A ,then C is true.
We are given 3 statements
Using the Law of Syllogism,we can derive the statement
from (2) and (3).