Theorems · Theorem · measure theory
MeasureTheory.AddContent.isCaratheodory_inducedOuterMeasure
∀ {α : Type u_1} {C : Set (Set α)} (hC : MeasureTheory.IsSetSemiring C) (m : MeasureTheory.AddContent ENNReal C)
(s : Set α), MeasurableSet s → (MeasureTheory.inducedOuterMeasure (fun x x_1 => m x) ⋯ ⋯).IsCaratheodory s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasurableSpace.generateFromstatement · cited by 172
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- MeasureTheory.AddContentstatement and proof · cited by 78
- MeasureTheory.inducedOuterMeasurestatement and proof · cited by 22
- MeasureTheory.OuterMeasure.IsCaratheodorystatement and proof · cited by 20
- MeasurableSpace.GenerateMeasurableproof · cited by 11
- MeasureTheory.addContent_emptystatement and proof · cited by 10
- MeasureTheory.IsSetSemiring.empty_memstatement and proof · cited by 8
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