Theorems · Theorem · measure theory
Real.borel_eq_generateFrom_Ioi_rat
borel ℝ = MeasurableSpace.generateFrom (⋃ a, {Set.Ioi ↑a})- Cited by
- 1 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.
Cites28
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
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Set.rangeproof · cited by 4,705
- Set.univproof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- Set.iUnionstatement and proof · cited by 2,483
- le_antisymmproof · cited by 2,068
- Set.Ioistatement and proof · cited by 1,463
- Set.mem_range_selfproof · cited by 328
Cited by1
Results whose statement or proof uses this declaration.
- Real.borel_eq_generateFrom_Iic_ratproof · cited by 1