Theorems · Definition · linear algebra

Module.Basis.dualBasis

{R : Type uR} →
  {M : Type uM} →
    {ι : Type uι} →
      [inst : CommSemiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : Module R M] → [DecidableEq ι] → Module.Basis ι R M → [Finite ι] → Module.Basis ι R (Module.Dual R M)

Maps a basis for V to a basis for the dual space.

Defined in

Mathlib.LinearAlgebra.Dual.Basis

Cited by

29 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleDecidableEqFinite