Theorems · Theorem · functional analysis

Submodule.coe_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] [inst_4 : ContinuousAdd M] [inst_5 : ContinuousConstSMul R M] (s : Submodule R M),
  ↑s.closure = closure ↑s

Defined in

Mathlib.Topology.Algebra.Module.ClosedSubmodule

Cited by

6 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidTopologicalSpaceModuleContinuousAddContinuousConstSMul