Theorems · Definition · linear algebra
Matrix.entryAddMonoidHom
{m : Type u_2} → {n : Type u_3} → (α : Type u_11) → [inst : AddZeroClass α] → m → n → Matrix m n α →+ αExtracting entries from a matrix as an additive monoid homomorphism. Note this cannot be upgraded to a ring homomorphism, as it does not respect multiplication.
- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
Cited by6
Results whose statement or proof uses this declaration.
- Matrix.entryAddMonoidHom_applystatement and proof · cited by 1
- AddMonoidHom.entryAddMonoidHom_comp_mapMatrixstatement · cited by 0
- Matrix.entryAddMonoidHom_eq_compstatement and proof · cited by 0
- Matrix.entryAddMonoidHom_toAddHomstatement · cited by 0
- Matrix.evalAddMonoidHom_comp_diagAddMonoidHomstatement · cited by 0
- Matrix.entryLinearMap_toAddMonoidHomstatement · cited by 0