Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.ext
∀ {α : Type u_1} {μ₁ μ₂ : MeasureTheory.OuterMeasure α}, (∀ (s : Set α), μ₁ s = μ₂ s) → μ₁ = μ₂- Defined in
- Mathlib.MeasureTheory.OuterMeasure.Basic
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 9,879
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- DFunLike.extproof · cited by 240
Cited by24
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.boundedBy_eq_selfproof · cited by 2
- MeasureTheory.OuterMeasure.comap_iSupproof · cited by 2
- MeasureTheory.OuterMeasure.ext_nonemptyproof · cited by 2
- MeasureTheory.OuterMeasure.map_comapproof · cited by 2
- MeasureTheory.OuterMeasure.trim_iSupproof · cited by 1
- MeasureTheory.OuterMeasure.comap_mapproof · cited by 1
- MeasureTheory.OuterMeasure.mkMetric'.eq_iSup_natproof · cited by 1
- MeasureTheory.OuterMeasure.restrict_univproof · cited by 1
- MeasureTheory.inducedOuterMeasure_zeroproof · cited by 1
- MeasureTheory.OuterMeasure.map_comap_of_surjectiveproof · cited by 1
- MeasureTheory.OuterMeasure.smul_iSupproof · cited by 1
- MeasureTheory.OuterMeasure.smul_ofFunctionproof · cited by 1