Theorems · Theorem · general topology
Filter.continuous_nhds
∀ {X : Type u_4} [inst : TopologicalSpace X], Continuous nhds- Defined in
- Mathlib.Topology.Filter
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- Continuousstatement · cited by 2,592
- Topology.IsInducing.continuousproof · cited by 48
- Filter.isInducing_nhdsproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Filter.Tendsto.nhdsproof · cited by 2
- Continuous.nhdsproof · cited by 0