Theorems · Definition · measure theory
MeasureTheory.SimpleFunc.eapprox
{α : Type u_1} → [inst : MeasurableSpace α] → (α → ENNReal) → ℕ → MeasureTheory.SimpleFunc α ENNRealApproximate a function α → ℝ≥0∞ by a sequence of simple functions.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement · cited by 9,879
- MeasureTheory.SimpleFuncstatement · cited by 411
- MeasureTheory.SimpleFunc.approxproof · cited by 4
- MeasureTheory.SimpleFunc.ennrealRatEmbedproof · cited by 4
Cited by21
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_const_mulproof · cited by 19
- MeasureTheory.lintegral_mapproof · cited by 17
- MeasureTheory.SimpleFunc.monotone_eapproxstatement · cited by 9
- MeasureTheory.SimpleFunc.iSup_eapprox_applystatement · cited by 8
- MeasureTheory.lintegral_eq_iSup_eapprox_lintegralstatement and proof · cited by 7
- Measurable.ennreal_inductionproof · cited by 7
- Measurable.lintegral_kernel_prod_rightproof · cited by 5
- MeasureTheory.Measure.measurable_lintegralproof · cited by 3
- MeasureTheory.SimpleFunc.eapproxDiffproof · cited by 3
- MeasureTheory.Measure.lintegral_joinproof · cited by 2
- MeasureTheory.SimpleFunc.iSup_coe_eapproxstatement · cited by 1
- MeasureTheory.lintegral_add_auxproof · cited by 1