Definition 7
Tag 055O, permanent. Cite it as [Bourbaki, Tag 055O].
Algebra, chapter I, § 1. Laws of composition; associativity; commutativity
Let E be a magma whose law is denoted by . Two elements x and y of E are said to commute (or to be permutable) if .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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