Theorems · Theorem · functional analysis

ClosedSubmodule.closure_toSubmodule_eq

∀ {R : Type u_2} {N : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid N] [inst_2 : TopologicalSpace N]
  [inst_3 : Module R N] [inst_4 : ContinuousAdd N] [inst_5 : ContinuousConstSMul R N] {s : ClosedSubmodule R N},
  (↑s).closure = s

Defined in

Mathlib.Topology.Algebra.Module.ClosedSubmodule

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidTopologicalSpaceModuleContinuousAddContinuousConstSMul