feat: Add mulVec_bijective.
#8650
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Member
erdOne
commented
Nov 27, 2023
erdOne
commented
erdOne
added
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eric-wieser
reviewed
Nov 27, 2023
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| lemma mulVec_bijective (hA : IsUnit A.det) : Function.Bijective (mulVec A) := by | ||
| rw [Function.bijective_iff_has_inverse] | ||
| use mulVec A⁻¹ | ||
| simp [Function.LeftInverse, Function.RightInverse, nonsing_inv_mul _ hA, mul_nonsing_inv _ hA] | ||
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| lemma mulVec_injective (hA : IsUnit A.det) : Function.Injective (mulVec A) := | ||
| (A.mulVec_bijective hA).injective |
|
Closing in favour of #8219. |
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