Corollary 1
Tag 002D, permanent. Cite it as [Bourbaki, Tag 002D].
Algebra, VIII, p. 34, § 2. The Structure of Modules of Finite Length
Let M and N be semiprimordial modules. Then M and N are isomorphic if and only if we have [M : L] = [N : L] for every primordial module L.
Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.
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