Theorems · Theorem · general topology
setOfPred_isOpen_sSup
∀ {α : Type u} {T : Set (TopologicalSpace α)}, {s | IsOpen s} = ⋂ t ∈ T, {s | IsOpen s}- Defined in
- Mathlib.Topology.Order
- Cited by
- 1 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.
Cites8
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
- Set.ofPredstatement · cited by 6,101
- IsOpenstatement · cited by 2,400
- Set.iInterstatement · cited by 1,084
- SupSet.sSupstatement · cited by 954
- GaloisConnection.l_sSupproof · cited by 19
- TopologicalSpace.gc_generateFromproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- setOf_isOpen_sSupproof · cited by 0