Theorems · Theorem · measure theory
MeasureTheory.measurableSet_spanningSets
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [inst : MeasureTheory.SigmaFinite μ] (i : ℕ),
MeasurableSet (MeasureTheory.spanningSets μ i)- Cited by
- 21 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetstatement · cited by 3,075
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasurableSet.iUnionproof · cited by 81
- MeasureTheory.spanningSetsstatement · cited by 45
- MeasureTheory.Measure.toFiniteSpanningSetsInproof · cited by 13
- MeasureTheory.Measure.FiniteSpanningSetsIn.set_memproof · cited by 7
Cited by21
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_lt_topproof · cited by 21
- ConvexOn.map_condExp_leproof · cited by 4
- MeasureTheory.ae_eq_zero_of_forall_setIntegral_eq_of_sigmaFiniteproof · cited by 3
- MeasureTheory.ae_of_forall_measure_lt_top_ae_restrict'proof · cited by 3
- MeasureTheory.Measure.iSup_restrict_spanningSetsproof · cited by 2
- MeasureTheory.Measure.exists_subset_measure_lt_topproof · cited by 2
- MeasureTheory.condExp_le_nonneg_constproof · cited by 2
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_imageproof · cited by 1
- MeasureTheory.setIntegral_condExpL1CLMproof · cited by 1
- MeasureTheory.sigmaFinite_bot_iffproof · cited by 1
- MeasureTheory.measurableSet_spanningSetsIndexproof · cited by 1