Theorems · Theorem · linear algebra
Matrix.isHermitian_transpose_add_self
∀ {α : Type u_1} {n : Type u_4} [inst : AddCommMonoid α] [inst_1 : StarAddMonoid α] (A : Matrix n n α),
(A.conjTranspose + A).IsHermitian- Defined in
- Mathlib.LinearAlgebra.Matrix.Hermitian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidStarAddMonoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Matrixstatement and proof · cited by 4,303
- StarAddMonoidstatement and proof · cited by 296
- Matrix.conjTransposestatement · cited by 202
- Matrix.IsHermitianstatement · cited by 126
- IsSelfAdjoint.star_add_selfproof · cited by 1
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