Theorems · Theorem · measure theory
Real.Icc_mem_vitaliFamily_at_left
∀ {x y : ℝ}, x < y → Set.Icc x y ∈ (IsUnifLocDoublingMeasure.vitaliFamily MeasureTheory.volume 1).setsAt y- Defined in
- Mathlib.MeasureTheory.Covering.OneDim
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 260 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Set.Iccstatement · cited by 1,702
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- le_of_not_gtproof · cited by 430
- lt_of_not_geproof · cited by 374
- abs_of_nonnegproof · cited by 279
- Real.dist_eqproof · cited by 27
- VitaliFamily.setsAtstatement and proof · cited by 22
- IsUnifLocDoublingMeasure.vitaliFamilystatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Real.tendsto_Icc_vitaliFamily_leftproof · cited by 2