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Theorems · Theorem · linear algebra

Matrix.IsHermitian.sub

∀ {α : Type u_1} {n : Type u_4} [inst : AddGroup α] [inst_1 : StarAddMonoid α] {A B : Matrix n n α},
  A.IsHermitian → B.IsHermitian → (A - B).IsHermitian
Defined in
Mathlib.LinearAlgebra.Matrix.Hermitian
Cited by
3 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupStarAddMonoid
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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.posSemidef_opNorm_smul_gram_sub_gram · cited by 0Matrix.posSemidef_opNorm_…SimpleGraph.isHermitian_lapMatrix · cited by 0SimpleGraph.isHermitian_l…AddGroup · cited by 4410AddGroupMatrix · cited by 4303MatrixStarAddMonoid · cited by 296StarAddMonoidMatrix.IsHermitian · cited by 126Matrix.IsHermitianIsSelfAdjoint.sub · cited by 13IsSelfAdjoint.subIsHermitian.subCITED BYCITES

Cites5

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Cited by3

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