1. General information about bodies
1.1 Defining bodies and sub-bodies
Recall that any application (x, y) → x * y associating any pair (x, y) of E × E with an element of E, noted here x * y, is called an "internal composition law" (or more simply "operation") on a non-empty set E.
By way of example, here are some well-known laws of internal composition:
in the set of integers, addition (p, q) → p + q and product (p, q) → pq are internal composition laws;
in the set P(E) of parts of a given set E, the union (A, B) →
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General information about bodies
Definition and properties of the body of real numbers
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