Theorems · Theorem · linear algebra

Finsupp.linearCombination_single

∀ {α : Type u_1} {M : Type u_2} (R : Type u_5) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {v : α → M} (c : R) (a : α), ((Finsupp.linearCombination R v) fun₀ | a => c) = c • v a

Defined in

Mathlib.LinearAlgebra.Finsupp.LinearCombination

Cited by

90 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule