Explain the purpose of statements and reasons in a formal proof. Once you've done that, give me a real-world proof that includes at least three statements and three reasons.

VERBAL IF-THEN'S For each of the following, do your best to figure out if the statement is true or false. Give an explanation (or argument) justifying why you think what you think. NOTE: Each of the following refers to "a number" or “numbers". They are general statements. So, if there is any number (or numbers) for which it's false, then the statement is false. In other words, if you are thinking "that's true in some cases (or perhaps even many cases), but it's not true in all cases," then the statement is false. Warning: The word "number" does not mean "integer" or "positive integer". All integers are numbers, but not all numbers are integers. Integers are numbers like -13, -4, 0, 27, and 132. Non-integers are numbers like 2.61, - 5.8, and 55/9. The first of these is between the consecutive integers 2 and 3. The second is between -6 and -5. The third is between 6 and 7. So if you are going to test the statements by choosing a number or numbers to test it with, do not limit yourself to…

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Solve a formula question, or draw a diagram, analyze the code, and write the paragraph about the given image, explain the components of the image, or anything else you prefer It is possible to define the logical connectives of conjunction, disjunction, and biconditional in terms of negation and implication. In other words, we can only use the combinations of negation and implication to interpret all five connectives. Conjunction: The conjunction of two propositions, p, and q, denoted by p A q, is true if both p and q are true and false otherwise. The conjunction can be defined using negation and implication as follows: p^ q = (p⇒¬q) In other words, p ^ q is equivalent to negating the implication "if p then not q". With the information given above, can you define disjunction and biconditional only using negation (¬) and implication (→)? Hint, you can use a truth table to validate your answer. Your answer: Please draw the related architecture diagram and explain your answer.