Theorems · Theorem · measure theory
MeasureTheory.Measure.absolutelyContinuous_smul
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} {c : ENNReal},
c ≠ 0 → μ.AbsolutelyContinuous (c • μ)- Cited by
- 10 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · 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
- MeasureTheory.Measure.AbsolutelyContinuousstatement · cited by 325
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_smul_rightproof · cited by 2
- MeasureTheory.Measure.AbsolutelyContinuous.smul_rightproof · cited by 2
- Ergodic.mem_extremePoints_measure_univ_eqproof · cited by 2
- MeasureTheory.nullMeasurableSet_smul_measure_iffproof · cited by 1
- MeasureTheory.Measure.absolutelyContinuous_comp_of_countableproof · cited by 1
- MeasureTheory.Measure.rnDeriv_smul_right'proof · cited by 1
- ProbabilityTheory.absolutelyContinuous_boolKernel_comp_leftproof · cited by 0
- ProbabilityTheory.absolutelyContinuous_boolKernel_comp_rightproof · cited by 0
- ProbabilityTheory.absolutelyContinuous_cond_univproof · cited by 0
- InformationTheory.integral_llr_add_mul_log_nonnegproof · cited by 0