Theorems · Theorem · general topology
nhds_mono
∀ {α : Type u} {t₁ t₂ : TopologicalSpace α} {a : α}, t₁ ≤ t₂ → nhds a ≤ nhds a- Defined in
- Mathlib.Topology.Order
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- GaloisConnection.monotone_uproof · cited by 53
- gc_nhdsproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- MvPowerSeries.HasEval.monoproof · cited by 2
- FiberPrebundle.continuous_symm_of_mem_pretrivializationAtlasproof · cited by 1
- SequentialSpace.iSupproof · cited by 1
- le_iff_nhdsproof · cited by 1
- ContinuousOn.mono_domproof · cited by 1
- ContinuousOn.mono_rngproof · cited by 0