Theorems · Theorem · linear algebra
Matrix.isHermitian_inv
∀ {α : Type u_1} {m : Type u_3} [inst : CommRing α] [inst_1 : StarRing α] [inst_2 : Fintype m] [inst_3 : DecidableEq m]
(A : Matrix m m α) [Invertible A], A⁻¹.IsHermitian ↔ A.IsHermitian- Defined in
- Mathlib.LinearAlgebra.Matrix.Hermitian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 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
- StarRingstatement and proof · cited by 1,686
- Invertiblestatement and proof · cited by 549
- Matrix.IsHermitianstatement and proof · cited by 126
- Matrix.inv_inv_of_invertibleproof · cited by 6
- Matrix.IsHermitian.invproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.