Theorems · Theorem · measure theory
MeasureTheory.condExp_of_not_le
∀ {α : Type u_1} {E : Type u_3} {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → E}
[inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E], ¬m ≤ m₀ → μ[f | m] = 0- Cited by
- 27 results in Mathlib
- Foundations
- Depth 295 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.condExpstatement · cited by 234
- MeasureTheory.condExp_defproof · cited by 3
Cited by27
Results whose statement or proof uses this declaration.
- MeasureTheory.stronglyMeasurable_condExpproof · cited by 35
- MeasureTheory.integrable_condExpproof · cited by 28
- MeasureTheory.condExp_of_not_integrableproof · cited by 19
- MeasureTheory.condExp_congr_aeproof · cited by 17
- MeasureTheory.condExp_addproof · cited by 11
- MeasureTheory.condExp_zeroproof · cited by 9
- MeasureTheory.condExp_monoproof · cited by 6
- MeasureTheory.condExp_smulproof · cited by 5
- MeasureTheory.condExp_indicatorproof · cited by 5
- Integrable.norm_condExp_rpow_leproof · cited by 3
- MeasureTheory.integral_abs_condExp_leproof · cited by 2
- ContinuousLinearMap.comp_condExp_commproof · cited by 2