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Theorems · Theorem · linear algebra

Matrix.IsHermitian.neg

∀ {α : Type u_1} {n : Type u_4} [inst : AddGroup α] [inst_1 : StarAddMonoid α] {A : Matrix n n α},
  A.IsHermitian → (-A).IsHermitian
Defined in
Mathlib.LinearAlgebra.Matrix.Hermitian
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
AddGroupStarAddMonoid
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Around this declaration

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

Matrix.isHermitian_neg_iff · cited by 0Matrix.isHermitian_neg_iffAddGroup · cited by 4410AddGroupMatrix · cited by 4303MatrixStarAddMonoid · cited by 296StarAddMonoidMatrix.IsHermitian · cited by 126Matrix.IsHermitianIsSelfAdjoint.neg · cited by 7IsSelfAdjoint.negIsHermitian.negCITED BYCITES

Cites5

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Cited by1

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