Theorems · Inductive type · measure theory
MeasureTheory.IsFiniteMeasure
{α : Type u_1} → {m0 : MeasurableSpace α} → MeasureTheory.Measure α → PropA measure μ is called finite if μ univ < ∞.
- Cited by
- 1,078 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
Cited by1,121
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_ne_topstatement and proof · cited by 171
- MeasureTheory.FiniteMeasureproof · cited by 150
- MeasureTheory.integral_constproof · cited by 75
- MeasureTheory.integrable_conststatement and proof · cited by 73
- ProbabilityTheory.condDistribstatement · cited by 58
- ProbabilityTheory.condExpKernelstatement · cited by 49
- ProbabilityTheory.CondIndepFunstatement and proof · cited by 41
- MeasureTheory.measure_lt_topstatement and proof · cited by 39
- MeasureTheory.Measure.condKernelstatement · cited by 38
- MeasureTheory.Measure.toSignedMeasurestatement and proof · cited by 36
- ProbabilityTheory.CondIndepstatement and proof · cited by 30
- ProbabilityTheory.posteriorstatement and proof · cited by 30
Showing the 200 most cited of 1,121.