Theorems · Theorem · measure theory
MeasureTheory.Measure.forall_measure_inter_isCountablySpanning_eq_zero
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α} {C : Set (Set α)},
IsCountablySpanning C → ((∀ t ∈ C, μ (s ∩ t) = 0) ↔ μ s = 0)- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- IsCountablySpanningstatement and proof · cited by 12
- MeasureTheory.measure_inter_null_of_null_leftproof · cited by 4
- IsCountablySpanning.null_of_forall_inter_nullproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsCountablySpanning.null_of_forall_restrict_nullproof · cited by 3
- MeasureTheory.Measure.exists_measure_inter_spanningSets_posproof · cited by 0