Theorems · Definition · Lie groups

NonUnitalSubsemiring.topologicalClosure

{R : Type u_1} →
  [inst : TopologicalSpace R] →
    [inst_1 : NonUnitalSemiring R] → [IsSemitopologicalSemiring R] → NonUnitalSubsemiring R → NonUnitalSubsemiring R

The (topological) closure of a non-unital subsemiring of a non-unital topological semiring is itself a non-unital subsemiring.

Defined in

Mathlib.Topology.Algebra.Ring.Basic

Cited by

5 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceNonUnitalSemiringIsSemitopologicalSemiring