Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.boundedBy_caratheodory
∀ {α : Type u_1} {m : Set α → ENNReal} {s : Set α}, (∀ (t : Set α), m (t ∩ s) + m (t \ s) ≤ m t) → MeasurableSet s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetstatement · cited by 3,075
- add_zeroproof · cited by 2,707
- Set.Nonemptyproof · cited by 2,627
- iSupproof · cited by 2,415
- le_transproof · cited by 985
- add_le_addproof · cited by 666
- Set.eq_empty_or_nonemptyproof · cited by 248
- iSup_congr_Propproof · cited by 247
- bot_eq_zero'proof · cited by 92
- iSup_posproof · cited by 61
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.pi_caratheodoryproof · cited by 3
- MeasureTheory.Measure.sInf_caratheodoryproof · cited by 1