Theorems · Theorem · linear algebra

Module.Basis.dualBasis_equivFun

∀ {R : Type uR} {M : Type uM} {ι : Type uι} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : DecidableEq ι] (b : Module.Basis ι R M) [inst_4 : Finite ι] (l : Module.Dual R M) (i : ι),
  b.dualBasis.equivFun l i = l (b i)

Defined in

Mathlib.LinearAlgebra.Dual.Basis

Cited by

0 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleDecidableEqFinite