Theorems · Theorem · measure theory
MeasureTheory.isCountablySpanning_spanningSets
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [inst : MeasureTheory.SigmaFinite μ],
IsCountablySpanning (Set.range (MeasureTheory.spanningSets μ))- Cited by
- 4 results in Mathlib
- Foundations
- Depth 184 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.rangestatement · cited by 4,705
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- Set.mem_range_selfproof · cited by 328
- MeasureTheory.spanningSetsstatement and proof · cited by 45
- MeasureTheory.iUnion_spanningSetsproof · cited by 19
- IsCountablySpanningstatement · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- ConvexOn.map_condExp_leproof · cited by 4
- MeasureTheory.condExp_le_nonneg_constproof · cited by 2
- MeasureTheory.Measure.exists_measure_inter_spanningSets_posproof · cited by 0
- Convex.condExp_memproof · cited by 0