Mathlib Map

Theorems · Theorem · general topology

generateFrom_iUnion

∀ {α : Type u} {ι : Sort v} {f : ι → Set (Set α)},
  TopologicalSpace.generateFrom (⋃ i, f i) = ⨅ i, TopologicalSpace.generateFrom (f i)
Defined in
Mathlib.Topology.Order
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

TopologicalSpace.secondCountableTopology_iInf · cited by 1TopologicalSpace.secondCo…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.iUnion · cited by 2483Set.iUnioniInf · cited by 1690iInfTopologicalSpace.generateFrom · cited by 62TopologicalSpace.generate…GaloisConnection.u_iInf · cited by 40GaloisConnection.u_iInfTopologicalSpace.gc_generateFrom · cited by 6TopologicalSpace.gc_gener…generateFrom_iUnionCITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.