Theorems · Theorem · linear algebra

AddMonoidHom.map_trace

∀ {n : Type u_3} {R : Type u_6} {S : Type u_7} [inst : Fintype n] [inst_1 : AddCommMonoid R] [inst_2 : AddCommMonoid S]
  {F : Type u_8} [inst_3 : FunLike F R S] [AddMonoidHomClass F R S] (f : F) (A : Matrix n n R),
  f A.trace = (A.map ⇑f).trace

Defined in

Mathlib.LinearAlgebra.Matrix.Trace

Cited by

4 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

FintypeAddCommMonoidAddCommMonoidFunLikeAddMonoidHomClass