Theorems · Theorem · linear algebra
Matrix.det_invOf
∀ {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] [inst_4 : Invertible A.det], (⅟A).det = ⅟A.det- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.detstatement and proof · cited by 665
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement and proof · cited by 268
- Invertible.congrproof · cited by 18
- Matrix.detInvertibleOfInvertibleproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.det_nonsing_invproof · cited by 4