Does anyone know about the law of syllogism and law of detachment. If so, can you check my work.

Try this:

http://en.allexperts.com/q/Geometry-2060/law-detachment-syllogism-1.htm

Yes, I can help you with that! The law of syllogism and the law of detachment are principles commonly used in logic and reasoning.

The law of syllogism states that if we have two conditional statements, such as "If A, then B" and "If B, then C," we can combine them to form a new conditional statement "If A, then C."

The law of detachment, also known as modus ponens, states that given a conditional statement "If A, then B" and the fact that A is true, we can deduce that B is also true.

To check your work, it would be helpful if you provide the specific examples or problems related to these two laws. Could you please provide the conditional statements or the logical reasoning you have been working on?