Can someone provide a detailed, step by step explanation on proving the following equivalence theorem? Since this is a proof of an equivalence theorem, we are required to prove all statements, in such a way that, proving the next statement, assuming the previous statement. That is in the order (a)==>(b), (b)==>(c), . , (t)==>(u), (u)==>(a) . We cannot assume (b) and then prove (d), (e) etc. We can assume (b) is true and only prove that (c) is true. The order must be preserved. This is proof and hence the proof would only be valid if ALL the statements are proved in the correct.

Hope you will be kind enough to address follow-up questions, just in case.

Thank you very much!