Theorems · Theorem · linear algebra

AddMonoidHom.mapMatrix_smul

∀ {m : Type u_2} {n : Type u_3} {A : Type u_10} {α : Type u_11} {β : Type u_12} [inst : Monoid A]
  [inst_1 : AddZeroClass α] [inst_2 : AddMonoid β] [inst_3 : DistribMulAction A β] (a : A) (f : α →+ β),
  (a • f).mapMatrix = a • f.mapMatrix

Defined in: Mathlib.Data.Matrix.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Quot.sound
Assumes: Monoid AddZeroClass AddMonoid DistribMulAction

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Matrixstatement · cited by 4,303
Monoidstatement and proof · cited by 3,887
AddMonoidHomstatement and proof · cited by 3,230
AddMonoidstatement and proof · cited by 2,864
AddZeroClassstatement and proof · cited by 1,237
DistribMulActionstatement and proof · cited by 584
AddMonoidHom.mapMatrixstatement · cited by 9

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