[Merged by Bors] - feat(linear_algebra/finite_dimension): nontriviality lemmas #8851
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hrmacbeth
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Looks good. Could you just edit to PR description to say "greater than zero" rather than "greater than one"? bors d+ |
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Oops, thanks! bors r+ |
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Aug 25, 2021
A vector space of `finrank` greater than zero is `nontrivial`, likewise a vector space whose `finrank` is equal to the successor of a natural number. Also write the non-`fact` version of `finite_dimensional_of_finrank_eq_succ`, a lemma which previously existed under a `fact` hypothesis, and rename the `fact` version to `fact_finite_dimensional_of_finrank_eq_succ`.
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A vector space of
finrankgreater than zero isnontrivial, likewise a vector space whosefinrankis equal to the successor of a natural number.Also write the non-
factversion offinite_dimensional_of_finrank_eq_succ, a lemma which previously existed under afacthypothesis, and rename thefactversion tofact_finite_dimensional_of_finrank_eq_succ.