Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.restrict_const_lintegral
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (c : ENNReal) {s : Set α},
MeasurableSet s → ((MeasureTheory.SimpleFunc.const α c).restrict s).lintegral μ = c * μ s- Cited by
- 1 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.
Cites11
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.SimpleFunc.lintegralstatement · cited by 55
- MeasureTheory.SimpleFunc.conststatement and proof · cited by 50
- MeasureTheory.SimpleFunc.restrictstatement · cited by 25
- MeasureTheory.SimpleFunc.restrict_lintegral_eq_lintegral_restrictproof · cited by 2
- MeasureTheory.SimpleFunc.const_lintegral_restrictproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_eq_nnrealproof · cited by 6