Theorems · Theorem · measure theory
MeasureTheory.hasFiniteIntegral_const_iff
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup β]
{c : β}, MeasureTheory.HasFiniteIntegral (fun x => c) μ ↔ c = 0 ∨ MeasureTheory.IsFiniteMeasure μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.HasFiniteIntegralstatement · cited by 120
- enorm_ne_topproof · cited by 82
- NNNormproof · cited by 33
- MeasureTheory.hasFiniteIntegral_const_iff_enormproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hasFiniteIntegral_constproof · cited by 2