Theorems · Theorem · measure theory
Real.borel_eq_generateFrom_Iic_rat
borel ℝ = MeasurableSpace.generateFrom (⋃ a, {Set.Iic ↑a})- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.rangeproof · cited by 4,705
- MeasurableSetproof · cited by 3,075
- Set.iUnionstatement and proof · cited by 2,483
- le_antisymmproof · cited by 2,068
- Set.Ioiproof · cited by 1,463
- Set.Iicstatement and proof · cited by 1,111
- Set.mem_range_selfproof · cited by 328
- MeasurableSet.complproof · cited by 172
- MeasurableSpace.generateFromstatement and proof · cited by 172
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProd_realproof · cited by 1