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"The wheel had been in use in Egypt for thousands of years before the first pyramid."
The Joser pyramid is ca. 2700BC. Your timing might be a bit suspect:
"...Based on diagrams on ancient clay tablets, the earliest known use of this essential invention was a potter’s wheel that was used at Ur in Mesopotamia (part of modern day Iraq} as early as 3500 BC. The first use of the wheel for transportation was probably on Mesopotamian chariots in 3200 BC. It is interesting to note that wheels may have had industrial or manufacturing applications before they were used on vehicles. A wheel with spokes first appeared on Egyptian chariots around 2000 BC, and wheels seem to have developed in Europe by 1400 BC without any influence from the Middle East. " [www.ideafinder. com]