Theorems · Theorem · general topology

Topology.IsLawson.isTopologicalBasis

∀ (α : Type u_1) [inst : Preorder α] [inst_1 : TopologicalSpace α] [Topology.IsLawson α],
  TopologicalSpace.IsTopologicalBasis (Topology.IsLawson.lawsonBasis α)

Defined in: Mathlib.Topology.Order.LawsonTopology
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Preorder TopologicalSpace Topology.IsLawson

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites33

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
Setproof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
SetLike.coeproof · cited by 8,199
Preorderstatement and proof · cited by 7,952
Set.ofPredproof · cited by 6,101
Set.preimageproof · cited by 4,946
Set.univproof · cited by 3,945
Compl.complproof · cited by 2,925
IsOpenproof · cited by 2,400
Set.Finiteproof · cited by 1,814
Set.image2proof · cited by 311

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.