If A = B and B = C, does A = C?

All commodities, including gold and silver, are going to go up a lot. There will be a time when they get expensive. If you won't sell when you have a profit, the only other alternative is that you sell at a loss. Investing is simple but not necessarily easy. Please remind yourself that it was the bulls who wouldn't sell who lost money in 1980 and 2011. There will come a time to sell both gold and silver as they become The Last Big Thing.

If A = B and B = C, does A = C?