Theorems · Theorem · functional analysis
MeasureTheory.Lp.stronglyMeasurable
∀ {α : Type u_1} {E : Type u_4} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup E] (f : ↥(MeasureTheory.Lp E p μ)), MeasureTheory.StronglyMeasurable ↑↑f- Cited by
- 18 results in Mathlib
- Foundations
- Depth 221 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.
Cites10
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
- ENNRealstatement and proof · cited by 9,879
- AddSubgroupstatement · cited by 3,232
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.Lpstatement and proof · cited by 715
- MeasureTheory.AEEqFun.caststatement · cited by 380
- MeasureTheory.StronglyMeasurablestatement · cited by 363
- MeasureTheory.AEEqFun.stronglyMeasurableproof · cited by 4
Cited by18
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.finStronglyMeasurableproof · cited by 3
- MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_leproof · cited by 2
- MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_leproof · cited by 2
- MeasureTheory.lintegral_nnnorm_condExpL2_leproof · cited by 2
- MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonnegproof · cited by 1
- MeasureTheory.Lp.simpleFunc.isDenseEmbeddingproof · cited by 1
- MeasureTheory.continuous_integral_integralproof · cited by 1
- ProbabilityTheory.Kernel.continuous_integral_integralproof · cited by 1
- ProbabilityTheory.Kernel.continuous_integral_integral_compproof · cited by 1
- MeasureTheory.lpMeasSubgroupToLpTrim_addproof · cited by 1
- MeasureTheory.lpMeasSubgroupToLpTrim_negproof · cited by 1
- MeasureTheory.lpMeasSubgroupToLpTrim_norm_mapproof · cited by 1