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remark.  [ca-0008]

This definition and what follows in \(\textsf {Mathlib}\) is initially presented in [wieser2022formalizing], some further developments are based on [grinberg2016clifford], and in turn based on [bourbaki2007algebra] which is in French and never translated to English.

The most informative English reference on [bourbaki2007algebra] is [jadczyk2019notes], which has an updated exposition in [jadczyk2023bundle].