Theorems · Theorem · general topology
monotone_nhdsSet
∀ {X : Type u_2} [inst : TopologicalSpace X], Monotone nhdsSet- Defined in
- Mathlib.Topology.NhdsSet
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 60 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- Monotonestatement · cited by 1,397
- nhdsSetstatement · cited by 267
- nhdsSet_monoproof · cited by 18
Cited by5
Results whose statement or proof uses this declaration.
- nhdsSet_le_iffproof · cited by 2
- nhdsSet_inter_leproof · cited by 1
- nhdsSet_sInter_leproof · cited by 0
- nhdsSet_iInter_leproof · cited by 0
- strictMono_nhdsSetproof · cited by 0