Theorems · Definition · measure theory
MeasureTheory.FiniteMeasure.restrict
{Ω : Type u_1} → [inst : MeasurableSpace Ω] → MeasureTheory.FiniteMeasure Ω → Set Ω → MeasureTheory.FiniteMeasure ΩRestrict a finite measure μ to a set A.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measure.restrictproof · cited by 1,646
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.restrict_massstatement · cited by 2
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- MeasureTheory.FiniteMeasure.restrict_applystatement · cited by 1
- MeasureTheory.FiniteMeasure.restrict_biUnion_finsetstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.restrict_unionstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.restrict_univstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.restrict_apply_measurestatement · cited by 0
- MeasureTheory.FiniteMeasure.restrict_eq_zero_iffstatement and proof · cited by 0
- MeasureTheory.FiniteMeasure.restrict_measure_eqstatement · cited by 0
- MeasureTheory.FiniteMeasure.restrict_nonzero_iffstatement · cited by 0