Mathlib Map

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 β

The 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.

Cited by10

Results whose statement or proof uses this declaration.