English
Conjugation identity for determinants under an invertible pairing of matrices.
Русский
Когенерационная идентичность детерминанта при паре обратимых матриц.
LaTeX
$$det (M * N * M') = det N$$
Lean4
/-- The determinant of an endomorphism given a basis.
See `LinearMap.det` for a version that populates the basis non-computably.
Although the `Trunc (Basis ι A M)` parameter makes it slightly more convenient to switch bases,
there is no good way to generalize over universe parameters, so we can't fully state in `detAux`'s
type that it does not depend on the choice of basis. Instead you can use the `detAux_def''` lemma,
or avoid mentioning a basis at all using `LinearMap.det`.
-/
def detAux :=
val_proj @wrapped✝.{}
