Theorems · Theorem · linear algebra
Matrix.IsHermitian.reindex
∀ {α : Type u_1} {m : Type u_3} {n : Type u_4} [inst : Star α] {A : Matrix n n α},
A.IsHermitian → ∀ (f : n ≃ m), ((Matrix.reindex f f) A).IsHermitian- Defined in
- Mathlib.LinearAlgebra.Matrix.Hermitian
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- Star
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.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- Equiv.symmproof · cited by 3,681
- Starstatement and proof · cited by 496
- Matrix.IsHermitianstatement and proof · cited by 126
- Matrix.reindexstatement · cited by 102
- Matrix.reindex_applyproof · cited by 8
- Matrix.IsHermitian.submatrixproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.isHermitian_reindex_iffproof · cited by 0