Theorems · Theorem · general topology
Filter.isTopologicalBasis_Iic_principal
∀ {α : Type u_2}, TopologicalSpace.IsTopologicalBasis (Set.range (Set.Iic ∘ Filter.principal))- Defined in
- Mathlib.Topology.Filter
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Top.topproof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- Set.rangestatement and proof · cited by 4,705
- Set.univproof · cited by 3,945
- Set.Iicstatement and proof · cited by 1,111
- Filter.principalstatement and proof · cited by 740
- le_topproof · cited by 411
- Set.Subset.rflproof · cited by 255
- TopologicalSpace.IsTopologicalBasisstatement · cited by 126
- Filter.principal_univproof · cited by 46
- Set.mem_Iicproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- Filter.isOpen_iffproof · cited by 0