Theorems · Definition · Lie groups

NonUnitalSubring.topologicalClosure

{R : Type u_1} →
  [inst : TopologicalSpace R] →
    [inst_1 : NonUnitalRing R] → [IsSemitopologicalRing R] → NonUnitalSubring R → NonUnitalSubring R

The (topological) closure of a non-unital subring of a non-unital topological ring is itself a non-unital 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

TopologicalSpaceNonUnitalRingIsSemitopologicalRing