[Merged by Bors] - chore(linear_algebra/basis): split off linear_independent.lean
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The file `basis.lean` was getting rather long (1500 lines), so I decided to split it into two not as long files. As a result, we can import it a bit later in the `ring_theory` hierarchy.
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The file `basis.lean` was getting rather long (1500 lines), so I decided to split it into two not as long files at a natural point: everything using `linear_independent` but not `basis` can go into a new file `linear_independent.lean`. As a result, we can import `basis.lean` a bit later in the `ring_theory` hierarchy.
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The file `basis.lean` was getting rather long (1500 lines), so I decided to split it into two not as long files at a natural point: everything using `linear_independent` but not `basis` can go into a new file `linear_independent.lean`. As a result, we can import `basis.lean` a bit later in the `ring_theory` hierarchy.
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The file
basis.leanwas getting rather long (1500 lines), so I decided to split it into two not as long files at a natural point: everything usinglinear_independentbut notbasiscan go into a new filelinear_independent.lean. As a result, we can importbasis.leana bit later in thering_theoryhierarchy.