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Theorems · Theorem · linear algebra

Matrix.conjTranspose_pow

∀ {m : Type u_2} {α : Type v} [inst : Semiring α] [inst_1 : StarRing α] [inst_2 : Fintype m] [inst_3 : DecidableEq m]
  (M : Matrix m m α) (k : ℕ), (M ^ k).conjTranspose = M.conjTranspose ^ k
Defined in
Mathlib.LinearAlgebra.Matrix.ConjTranspose
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringStarRingFintypeDecidableEq
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Around this declaration

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

Matrix.conjTranspose_zpow · cited by 1Matrix.conjTranspose_zpowSemiring · cited by 13802SemiringFintype · cited by 7736FintypeMatrix · cited by 4303MatrixStarRing · cited by 1686StarRingmap_pow · cited by 503map_powMatrix.conjTranspose · cited by 202Matrix.conjTransposeMulOpposite.op_injective · cited by 37MulOpposite.op_injectiveMatrix.conjTransposeRingEquiv · cited by 4Matrix.conjTransposeRingE…Matrix.conjTranspose_powCITED BYCITES

Cites8

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Cited by1

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