Theorems · Definition · linear algebra

Module.mapEvalEquiv

(R : Type u_3) →
  (M : Type u_4) →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] →
          [Module.IsReflexive R M] → Submodule R M ≃o Submodule R (Module.Dual R (Module.Dual R M))

The isomorphism Module.evalEquiv induces an order isomorphism on subspaces.

Defined in

Mathlib.LinearAlgebra.Dual.Defs

Cited by

3 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleModule.IsReflexive