Theorems · Theorem · measure theory
MeasureTheory.Measure.restrict_restrict_of_subset
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α},
s ⊆ t → (μ.restrict t).restrict s = μ.restrict s- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- LE.le.transproof · cited by 3,151
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- Set.inter_subset_rightproof · cited by 329
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.restrict_applyproof · cited by 159
- MeasureTheory.Measure.restrict_eq_selfproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_congr_monoproof · cited by 2
- tendsto_tsum_div_pow_atTop_integralproof · cited by 1
- hasMellin_one_Iocproof · cited by 1
- IntervalIntegrable.absolutelyContinuousOnInterval_intervalIntegralproof · cited by 1
- Complex.approx_Gamma_integral_tendsto_Gamma_integralproof · cited by 1
- MeasureTheory.IntegrableOn.inter_of_restrictproof · cited by 1
- MeasurableEmbedding.integrableOn_iff_comapproof · cited by 1