The infinite version of Ramsey's theorem tells us that for every finite coloring of a finite power of the natural numbers, there is a countable set of natural numbers so that every sequence taken from that set has the same color. In 1981, Andreas Blass proved that finite colorings of finite powers of the real numbers have a similar property, and in 1987 Lefmann proved a similar result for partitions of finite powers of the real numbers into the real numbers. This is known as the canonization theorem. We will prove a very slight generalization of that result.
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