Theorems · Theorem · measure theory
Real.borel_eq_generateFrom_Ioo_rat
borel ℝ = MeasurableSpace.generateFrom (⋃ a, ⋃ b, ⋃ (_ : a < b), {Set.Ioo ↑a ↑b})- Cited by
- 2 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement · cited by 13,106
- Set.iUnionstatement · cited by 2,483
- Set.Ioostatement · cited by 1,214
- MeasurableSpace.generateFromstatement · cited by 172
- borelstatement · cited by 57
- Real.isTopologicalBasis_Ioo_ratproof · cited by 2
- TopologicalSpace.IsTopologicalBasis.borel_eq_generateFromproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.hausdorffMeasure_pi_realproof · cited by 3
- Real.measure_ext_Ioo_ratproof · cited by 2