Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.ofFunction_le
∀ {α : Type u_1} {m : Set α → ENNReal} {m_empty : m ∅ = 0} (s : Set α),
(MeasureTheory.OuterMeasure.ofFunction m m_empty) s ≤ m s- Cited by
- 10 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- le_of_eqproof · cited by 366
- MeasureTheory.OuterMeasurestatement · cited by 287
- Set.subset_iUnionproof · cited by 81
- iInf_le_of_leproof · cited by 62
- MeasureTheory.OuterMeasure.ofFunctionstatement · cited by 21
- tsum_eq_singleproof · cited by 19
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.le_ofFunctionproof · cited by 5
- MeasureTheory.OuterMeasure.boundedBy_leproof · cited by 5
- MeasureTheory.OuterMeasure.ofFunction_eqproof · cited by 3
- StieltjesFunction.outer_le_lengthproof · cited by 3
- MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_interproof · cited by 2
- MeasureTheory.OuterMeasure.comap_ofFunctionproof · cited by 2
- MeasureTheory.AddContent.isCaratheodory_ofFunction_of_memproof · cited by 1
- MeasureTheory.AddContent.ofFunction_eqproof · cited by 1
- MeasureTheory.OuterMeasure.map_ofFunction_leproof · cited by 1
- MeasureTheory.OuterMeasure.isGreatest_ofFunctionproof · cited by 1