Theorems · Theorem · measure theory
MeasureTheory.mem_spanningSets_of_index_le
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [inst : MeasureTheory.SigmaFinite μ] (x : α)
{n : ℕ}, MeasureTheory.spanningSetsIndex μ x ≤ n → x ∈ MeasureTheory.spanningSets μ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 190 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.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.spanningSetsstatement · cited by 45
- MeasureTheory.spanningSetsIndexstatement and proof · cited by 14
- MeasureTheory.monotone_spanningSetsproof · cited by 8
- MeasureTheory.mem_spanningSetsIndexproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eventually_mem_spanningSetsproof · cited by 1