Theorems · Definition · linear algebra
AddMonoidHom.mapMatrix
{m : Type u_2} →
{n : Type u_3} →
{α : Type u_11} →
{β : Type u_12} → [inst : AddZeroClass α] → [inst_1 : AddZeroClass β] → (α →+ β) → Matrix m n α →+ Matrix m n βThe AddMonoidHom between spaces of matrices induced by an AddMonoidHom between their
coefficients. This is Matrix.map as an AddMonoidHom.
- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement and proof · cited by 4,303
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- Matrix.mapproof · cited by 247
Cited by10
Results whose statement or proof uses this declaration.
- RingHom.mapMatrixproof · cited by 55
- AddMonoidHom.mapMatrix_idstatement · cited by 0
- AddMonoidHom.mapMatrix_negstatement · cited by 0
- AddMonoidHom.mapMatrix_smulstatement · cited by 0
- AddMonoidHom.mapMatrix_substatement · cited by 0
- AddMonoidHom.mapMatrix_zerostatement · cited by 0
- AddMonoidHom.entryAddMonoidHom_comp_mapMatrixstatement · cited by 0
- AddMonoidHom.mapMatrix_addstatement · cited by 0
- AddMonoidHom.mapMatrix_applystatement and proof · cited by 0
- AddMonoidHom.mapMatrix_compstatement · cited by 0