Theorems · Definition · linear algebra

Module.Basis.sumCoords

{ι : Type u_10} →
  {R : Type u_11} →
    {M : Type u_12} →
      [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → Module.Basis ι R M → M →ₗ[R] R

The sum of the coordinates of an element m : M with respect to a basis.

Defined in

Mathlib.LinearAlgebra.Basis.Defs

Cited by

10 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule