Theorems · Theorem · general topology
TopologicalSpace.Opens.mem_top
∀ {α : Type u_2} [inst : TopologicalSpace α] (x : α), x ∈ ⊤- Defined in
- Mathlib.Topology.Sets.Opens
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 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.
Cites3
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
- Top.topstatement · cited by 9,680
- TopologicalSpace.Opensstatement · cited by 2,040
Cited by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasRingHomProperty.iff_exists_appLE_locallyproof · cited by 3
- AlgebraicGeometry.HasRingHomProperty.stalkMap_of_respectsIsoproof · cited by 2
- RingHom.FormallyUnramified.ofLocalizationSpanTargetproof · cited by 1
- IsLocalRing.closedPoint_mem_iffproof · cited by 0