Theorems · Definition · measure theory
MeasureTheory.SimpleFunc.eapproxDiff
{α : Type u_1} → [inst : MeasurableSpace α] → (α → ENNReal) → ℕ → MeasureTheory.SimpleFunc α NNRealApproximate a function α → ℝ≥0∞ by a series of simple functions taking their values
in ℝ≥0.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 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.
Cites7
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 and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- ENNReal.toNNRealproof · cited by 165
- MeasureTheory.SimpleFunc.mapproof · cited by 54
- MeasureTheory.SimpleFunc.eapproxproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_le_lowerSemicontinuous_lintegral_geproof · cited by 2
- MeasureTheory.SimpleFunc.tsum_eapproxDiffstatement and proof · cited by 1
- MeasureTheory.SimpleFunc.sum_eapproxDiffstatement and proof · cited by 1