Theorems · Theorem · linear algebra
Matrix.invertibleEquivDetInvertible_apply
∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (A : Matrix n n α)
[inst_3 : Invertible A], A.invertibleEquivDetInvertible inst_3 = A.detInvertibleOfInvertible- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.detstatement · cited by 665
- Invertiblestatement and proof · cited by 549
- Matrix.detInvertibleOfInvertiblestatement · cited by 3
- Matrix.invertibleEquivDetInvertiblestatement and proof · cited by 3
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