Theorems · Theorem · linear algebra

AlgEquiv.mapMatrix_trans

∀ {m : Type u_2} {R : Type u_7} {α : Type u_11} {β : Type u_12} {γ : Type u_13} [inst : Fintype m]
  [inst_1 : DecidableEq m] [inst_2 : CommSemiring R] [inst_3 : Semiring α] [inst_4 : Semiring β] [inst_5 : Semiring γ]
  [inst_6 : Algebra R α] [inst_7 : Algebra R β] [inst_8 : Algebra R γ] (f : α ≃ₐ[R] β) (g : β ≃ₐ[R] γ),
  f.mapMatrix.trans g.mapMatrix = (f.trans g).mapMatrix

Defined in

Mathlib.Data.Matrix.Basic

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommSemiringSemiringSemiringSemiringAlgebraAlgebraAlgebra