Theorems · Theorem · general topology
Semicontinuous.semicontinuousAt
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] {r : α → β → Prop},
Semicontinuous r → ∀ (x : α), SemicontinuousAt r x- Defined in
- Mathlib.Topology.Semicontinuity.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, 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
- Semicontinuousstatement and proof · cited by 12
- SemicontinuousAtstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Semicontinuous.compproof · cited by 5