Check 2nd part, please (AxB)∩(CxD) = (A∩C)x(B∩D)

[IntroAnalysis]

Homework Statement

How to Prove It, 2nd Ed, Sec. 4.1, #5 part 2.

Homework Equations

The Attempt at a Solution

See attached work. Is second part acceptable to a picky grader?

 

[mighty2000]

Hello there,

Thank you for your question. In order to prove a statement, it is important to follow certain steps and guidelines. Here is a suggested approach to prove the statement in question:

1. Begin by restating the statement that you are trying to prove. This will help you to clearly understand what you are trying to prove.

2. Identify the key elements of the statement and any given conditions or assumptions. This will help you to determine what information you need to use in your proof.

3. Use logical reasoning to break down the statement into smaller, more manageable parts. This will make it easier for you to determine the steps needed to prove the statement.

4. Use definitions, theorems, and other previously proven statements to support your proof. This will help to make your proof more solid and convincing.

5. Clearly state each step of your proof and explain why it is valid using the information from step 4.

6. Finally, conclude your proof by restating the original statement and showing how your steps lead to its proof.

As for the second part of the question, it is always important to be thorough and precise when presenting a proof. Make sure to clearly state each step and provide adequate justification for each one. If you have followed the above steps and have a solid reasoning for each step, your proof should be acceptable to a picky grader. However, it is always a good idea to double check your work and make sure it is clear and concise. I have attached a sample proof for your reference.

I hope this helps. Good luck with your proof!