Theorems · Definition · functional analysis

Submodule.closure

{R : Type u_2} →
  {M : Type u_3} →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : TopologicalSpace M] →
          [inst_3 : Module R M] → [ContinuousAdd M] → [ContinuousConstSMul R M] → Submodule R M → ClosedSubmodule R M

The closure of a submodule as a closed submodule.

Defined in

Mathlib.Topology.Algebra.Module.ClosedSubmodule

Cited by

16 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidTopologicalSpaceModuleContinuousAddContinuousConstSMul