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[Merged by Bors] - feat(algebra/invertible): map_inv_of and some other basic results
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The titular lemma states that under suitable conditions, `f (⅟r) = ⅟(f r)`.
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| @[simps?] | ||
| def invertible_algebra_map_equiv (r : R) : |
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| @[simps?] | |
| def invertible_algebra_map_equiv (r : R) : | |
| @[simps] def invertible_algebra_map_equiv (r : R) : |
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Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
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…16202) The titular lemma states that under suitable conditions, `f (⅟r) = ⅟(f r)`. This also provides some lemmas about left inverses, which are motivated primarily by proving `is_unit (algebra_map R (exterior_algebra R M) r) ↔ is_unit r`.
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map_inv_of and some other basic resultsmap_inv_of and some other basic results
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The titular lemma states that under suitable conditions,
f (⅟r) = ⅟(f r).This also provides some lemmas about left inverses, which are motivated primarily by proving
is_unit (algebra_map R (exterior_algebra R M) r) ↔ is_unit r.