Theorems · Theorem · linear algebra
Matrix.diagonalLinearMap_apply
∀ (n : Type u_3) (R : Type u_7) (α : Type u_11) [inst : DecidableEq n] [inst_1 : Semiring R] [inst_2 : AddCommMonoid α] [inst_3 : Module R α] (a : n → α), (Matrix.diagonalLinearMap n R α) a = (↑(Matrix.diagonalAddMonoidHom n α)).toFun a
- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Matrixstatement · cited by 4,303
- ZeroHom.toFunstatement · cited by 101
- AddMonoidHom.toZeroHomstatement · cited by 61
- Matrix.diagonalAddMonoidHomstatement · cited by 4
- Matrix.diagonalLinearMapstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.GeckConstruction.diagonal_elim_mem_span_h_iffproof · cited by 0