Corollary 1
Tag 04WF, permanent. Cite it as [Bourbaki, Tag 04WF].
Commutative Algebra, chapter VI, § 8. Extensions of a valuation to an algebraic extension
If K is complete with respect to v and v is not improper, two valuations on L extending v are dependent.
This follows since .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
Cited by
Cites
Nothing.