Theorems · Theorem · measure theory
MeasureTheory.measureReal_restrict_apply_univ
∀ {α : Type u_1} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α} (s : Set α),
(μ.restrict s).real Set.univ = μ.real s- Defined in
- Mathlib.MeasureTheory.Measure.Real
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 197 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.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.univstatement · cited by 3,945
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- MeasureTheory.Measure.realstatement and proof · cited by 530
- Set.univ_interproof · cited by 258
- MeasureTheory.measureReal_restrict_applyproof · cited by 29
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.setIntegral_constproof · cited by 15
- MeasureTheory.setAverage_eqproof · cited by 5
- MeasureTheory.average_unionproof · cited by 2
- MeasureTheory.measure_smul_setAverageproof · cited by 1
- ValueDistribution.Cartan.integrable_integral_norm_cartanKernelproof · cited by 1
- ae_eq_const_or_norm_setIntegral_lt_of_norm_le_constproof · cited by 0