Theorems · Theorem · measure theory
MeasureTheory.TendstoInMeasure.comp
∀ {α : Type u_1} {ι : Type u_2} {κ : Type u_3} {E : Type u_4} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst : EDist E] {l : Filter ι} {f : ι → α → E} {g : α → E} {v : Filter κ} {ns : κ → ι},
MeasureTheory.TendstoInMeasure μ f l g → Filter.Tendsto ns v l → MeasureTheory.TendstoInMeasure μ (f ∘ ns) v g- Cited by
- 3 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EDist
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Filterstatement and proof · cited by 8,121
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.Tendsto.compproof · cited by 560
- EDiststatement and proof · cited by 91
- MeasureTheory.TendstoInMeasurestatement and proof · cited by 51
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.tendstoInMeasure_ae_uniqueproof · cited by 0
- MeasureTheory.exists_seq_tendstoInMeasure_atTop_iffproof · cited by 0
- MeasureTheory.TendstoInMeasure.tendstoInDistributionproof · cited by 0