Theorems · Theorem · measure theory
borel_eq_generateFrom_of_subbasis
∀ {α : Type u_1} {s : Set (Set α)} [t : TopologicalSpace α] [SecondCountableTopology α],
t = TopologicalSpace.generateFrom s → borel α = MeasurableSpace.generateFrom s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- MeasurableSpacestatement · cited by 13,106
- MeasurableSetproof · cited by 3,075
- IsOpenproof · cited by 2,400
- le_antisymmproof · cited by 2,068
- SecondCountableTopologystatement and proof · cited by 750
- Set.Countableproof · cited by 545
- Set.sUnionproof · cited by 392
- MeasurableSet.univproof · cited by 178
- MeasurableSpace.generateFromstatement · cited by 172
- MeasurableSet.interproof · cited by 167
Cited by2
Results whose statement or proof uses this declaration.
- borel_eq_generateFrom_Iioproof · cited by 6
- TopologicalSpace.IsTopologicalBasis.borel_eq_generateFromproof · cited by 1