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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}, A.IsHermitian → A⁻¹.IsHermitian
Defined in
Mathlib.LinearAlgebra.Matrix.Hermitian
Cited by
2 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingStarRingFintypeDecidableEq
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.IsHermitian.fromBlocks₁₁ · cited by 2IsHermitian.fromBlocks₁₁Matrix.isHermitian_inv · cited by 0Matrix.isHermitian_invCommRing · cited by 17173CommRingFintype · cited by 7736FintypeMatrix · cited by 4303MatrixStarRing · cited by 1686StarRingMatrix.IsHermitian · cited by 126Matrix.IsHermitianMatrix.IsHermitian.eq · cited by 11IsHermitian.eqMatrix.conjTranspose_nonsing_inv · cited by 5Matrix.conjTranspose_nons…IsHermitian.invCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.