Theorems · Definition · general topology

ContinuousMap.opensOfIdeal

{X : Type u_1} →
  {R : Type u_2} →
    [inst : TopologicalSpace X] →
      [inst_1 : Semiring R] →
        [inst_2 : TopologicalSpace R] →
          [inst_3 : IsTopologicalSemiring R] → [T2Space R] → Ideal C(X, R) → TopologicalSpace.Opens X

The open set ContinuousMap.setOfIdeal I realized as a term of opens X.

Defined in

Mathlib.Topology.ContinuousMap.Ideals

Cited by

3 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceSemiringTopologicalSpaceIsTopologicalSemiringT2Space