Remark 4
Tag 06GB, permanent. Cite it as [Bourbaki, Tag 06GB].
Algebra, chapter V, § 1. Prime fields. Characteristic
Since the field is infinite, every ring of characteristic 0 is infinite; it follows that every finite field has non-zero characteristic.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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