Theorems · Definition · Lie groups

Subring.topologicalClosure

{R : Type u_1} → [inst : TopologicalSpace R] → [inst_1 : Ring R] → [IsSemitopologicalRing R] → Subring R → Subring R

The (topological-space) closure of a subring of a topological ring is itself a subring.

Defined in

Mathlib.Topology.Algebra.Ring.Basic

Cited by

4 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceRingIsSemitopologicalRing