No, that equation does not always hold true in the physical world as it does in math. For example, If God is Jesus and Jesus is a man then it does not follow that God is a man. God is love but not all love can be said to be God.Why should anyone care what you believe?
Here, let's try something different.....
I'm going to make an argument in the form of a question and you respond by both answering the question AND explaining how it doesn't present any sort of problem for your position.
If A=B and B=C then does A=C?
Answer the question directly and then apply the answer to your stated position and explain why you think it doesn't imply the need to at least qualify your stated position (note that I know IN ADVANCE that you WILL NOT be persuaded to alter your position in ANY way by fourth grade level logical reasoning).