Theorems · Theorem · real analysis
intervalIntegral.FTCFilter.finiteAt_inner
∀ {a : ℝ} (l : Filter ℝ) {l' : Filter ℝ} [h : intervalIntegral.FTCFilter a l l'] {μ : MeasureTheory.Measure ℝ}
[MeasureTheory.IsLocallyFiniteMeasure μ], μ.FiniteAtFilter l'- Cited by
- 4 results in Mathlib
- Foundations
- Depth 173 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.
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filterstatement and proof · cited by 8,121
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- MeasureTheory.Measure.FiniteAtFilterstatement · cited by 35
- intervalIntegral.FTCFilterstatement and proof · cited by 25
- MeasureTheory.Measure.finiteAt_nhdsproof · cited by 10
- MeasureTheory.Measure.FiniteAtFilter.filter_monoproof · cited by 6
- intervalIntegral.FTCFilter.le_nhdsproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_aeproof · cited by 2