Theorems · Theorem · measure theory
HasOuterApproxClosed.tendsto_apprSeq
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : HasOuterApproxClosed X] {F : Set X} (hF : IsClosed F),
Filter.Tendsto (fun n x => (hF.apprSeq n) x) Filter.atTop (nhds (F.indicator fun x => 1))- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsstatement · cited by 5,554
- NNRealstatement · cited by 4,310
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- IsClosedstatement and proof · cited by 1,639
- Set.indicatorstatement · cited by 723
- BoundedContinuousFunctionstatement · cited by 511
- HasOuterApproxClosedstatement and proof · cited by 65
- IsClosed.apprSeqstatement · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- HasOuterApproxClosed.tendsto_lintegral_apprSeqproof · cited by 2
- Measure.ext_of_lintegral_prod_mul_prod_boundedContinuousFunctionproof · cited by 1