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Theorems · Theorem · linear algebra

Matrix.conjTranspose_neg

∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : AddGroup α] [inst_1 : StarAddMonoid α] (M : Matrix m n α),
  (-M).conjTranspose = -M.conjTranspose
Defined in
Mathlib.LinearAlgebra.Matrix.ConjTranspose
Cited by
1 results in Mathlib
Foundations
Depth 20 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.IsHadamard.neg · cited by 1IsHadamard.negAddGroup · cited by 4410AddGroupMatrix · cited by 4303MatrixStar.star · cited by 1082Star.starMatrix.ext · cited by 540Matrix.extStarAddMonoid · cited by 296StarAddMonoidMatrix.conjTranspose · cited by 202Matrix.conjTransposestar_neg · cited by 8star_negMatrix.conjTranspose_negCITED BYCITES

Cites7

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Cited by1

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