Theorems · Theorem · linear algebra
Matrix.conjTranspose_zpow
∀ {n' : Type u_1} [inst : DecidableEq n'] [inst_1 : Fintype n'] {R : Type u_2} [inst_2 : CommRing R]
[inst_3 : StarRing R] (A : Matrix n' n' R) (n : ℤ), (A ^ n).conjTranspose = A.conjTranspose ^ n- Defined in
- Mathlib.LinearAlgebra.Matrix.ZPow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- StarRingstatement and proof · cited by 1,686
- zpow_natCastproof · cited by 271
- Matrix.conjTransposestatement and proof · cited by 202
- zpow_negSuccproof · cited by 92
- Matrix.conjTranspose_nonsing_invproof · cited by 5
- Matrix.conjTranspose_powproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.IsHermitian.zpowproof · cited by 0