mathlib3
5f1329a2 - feat(linear_algebra/dual): add dual vector spaces (#881)

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6 years ago
feat(linear_algebra/dual): add dual vector spaces (#881) * feat(linear_algebra/dual): add dual vector spaces Define dual modules and vector spaces and prove the basic theorems: the dual basis isomorphism and evaluation isomorphism in the finite dimensional case, and the corresponding (injectivity) statements in the general case. A variant of `linear_map.ker_eq_bot` and the "inverse" of `is_basis.repr_total` are included. Universe issues make an adaptation of `linear_equiv.dim_eq` necessary. * style(linear_algebra/dual): adapt to remarks from PR dsicussion * style(linear_algebra/dual): reformat proof of `ker_eq_bot'`
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