Pan Galactic Division

Abstract

This is a light expository article. It explains a proof, due to Peter Doyle and Cecil Qiu, the following result from set theory. Let A and B be sets. Suppose there is an injective map from A x 0,...,n-1 into B x 0,...,n-1. Then there is an injection from A into B. Unlike previous proofs, this one is a very simple one.

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