Theorems · Theorem · linear algebra
Matrix.isSymm_map_iff
∀ {α : Type u_1} {β : Type u_2} {n : Type u_3} {A : Matrix n n α} {f : α → β},
Function.Injective f → ((A.map f).IsSymm ↔ A.IsSymm)- Defined in
- Mathlib.LinearAlgebra.Matrix.Symmetric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Matrix.transposeproof · cited by 389
- Matrix.mapstatement and proof · cited by 247
- Matrix.IsSymmstatement and proof · cited by 70
- Matrix.transpose_mapproof · cited by 8
- Matrix.map_injectiveproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.