Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.nnnorm_approxOn_le
∀ {β : Type u_2} {E : Type u_4} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace E] [inst_2 : NormedAddCommGroup E]
[inst_3 : OpensMeasurableSpace E] {f : β → E} (hf : Measurable f) {s : Set E} {y₀ : E} (h₀ : y₀ ∈ s)
[inst_4 : TopologicalSpace.SeparableSpace ↑s] (x : β) (n : ℕ),
‖(MeasureTheory.SimpleFunc.approxOn f hf s y₀ h₀ n) x - f x‖₊ ≤ ‖f x - y₀‖₊- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealproof · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement · cited by 4,310
- Measurablestatement and proof · cited by 1,499
- ENNReal.ofNNRealproof · cited by 1,279
- NNNorm.nnnormstatement · cited by 952
- EDist.edistproof · cited by 735
- OpensMeasurableSpacestatement and proof · cited by 636
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.tendsto_approxOn_Lp_eLpNormproof · cited by 3