Theorems · Theorem · linear algebra

mulLinearMap_apply_apply

∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} (R : Type u_5) {A : Type u_6} [inst : Fintype m]
  [inst_1 : CommSemiring R] [inst_2 : NonUnitalNonAssocSemiring A] [inst_3 : Module R A] [inst_4 : SMulCommClass R A A]
  [inst_5 : IsScalarTower R A A] (X : Matrix l m A) (x : Matrix m n A), ((mulLinearMap R) X) x = X * x

Defined in

Mathlib.LinearAlgebra.Matrix.Bilinear

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeCommSemiringNonUnitalNonAssocSemiringModuleSMulCommClassIsScalarTower