refactor(linear_algebra/eigenspace): refactor `eigenvectors_linearly_independent` (#10198)
This refactors the proof of the lemma
```lean
lemma eigenvectors_linear_independent (f : End K V) (μs : set K) (xs : μs → V)
(h_eigenvec : ∀ μ : μs, f.has_eigenvector μ (xs μ)) :
linear_independent K xs
```
to extract the formulation
```lean
lemma eigenspaces_independent (f : End K V) : complete_lattice.independent f.eigenspace
```
from which `eigenvectors_linear_independent` follows as a 1-liner.
I don't need this for anything (although it might have applications -- for example, cardinality lemmas) -- just think it's a possibly more elegant statement.