Theorems · Definition · measure theory
IsClosed.apprSeq
{X : Type u_1} →
[inst : TopologicalSpace X] →
[HasOuterApproxClosed X] → {F : Set X} → IsClosed F → ℕ → BoundedContinuousFunction X NNRealA sequence of continuous functions X → [0,1] tending to the indicator of a closed set.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- NNRealstatement · cited by 4,310
- IsClosedstatement and proof · cited by 1,639
- BoundedContinuousFunctionstatement · cited by 511
- HasOuterApproxClosedstatement and proof · cited by 65
- HasOuterApproxClosed.exApprproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- HasOuterApproxClosed.apprSeq_apply_le_onestatement · cited by 3
- HasOuterApproxClosed.tendsto_apprSeqstatement · cited by 2
- HasOuterApproxClosed.tendsto_lintegral_apprSeqstatement and proof · cited by 2
- HasOuterApproxClosed.apprSeq_apply_eq_onestatement · cited by 2
- HasOuterApproxClosed.measure_le_lintegralstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.limsup_measure_closed_le_of_tendstoproof · cited by 1
- Measure.ext_of_lintegral_prod_mul_prod_boundedContinuousFunctionproof · cited by 1
- HasOuterApproxClosed.indicator_le_apprSeqstatement and proof · cited by 0
- IsClosed.apprSeq.congr_simpstatement and proof · cited by 0