Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.const_lintegral
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (c : ENNReal),
(MeasureTheory.SimpleFunc.const α c).lintegral μ = c * μ Set.univ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Finset.sumproof · cited by 5,195
- Set.preimageproof · cited by 4,946
- Set.univstatement and proof · cited by 3,945
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.mul_zeroproof · cited by 2,091
- IsEmptyproof · cited by 759
- isEmpty_or_nonemptyproof · cited by 269
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_constproof · cited by 123
- MeasureTheory.SimpleFunc.const_lintegral_restrictproof · cited by 1