Theorems · Theorem · linear algebra

Module.Basis.linearCombination_coord

∀ {R : Type uR} {M : Type uM} {ι : Type uι} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [Finite ι] (b : Module.Basis ι R M) (f : ι →₀ R) (i : ι), ((Finsupp.linearCombination R b.coord) f) (b i) = f i

simp normal form version of linearCombination_dualBasis

Defined in

Mathlib.LinearAlgebra.Dual.Basis

Cited by

0 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleFinite