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# Tacit extension

MyWikiBiz, Author Your Legacy — Monday October 23, 2017

In logic and mathematics, a **tacit extension** is an injection of a set into a cartesian product that has that set as one of its factors. There are many such injections, all of which serve as inverse operations to the projection of the Cartesian product onto the set in question, but the tacit extension is the one that places no additional constraints on the injection mapping.