Theorems · Theorem · measure theory
HasOuterApproxClosed.apprSeq_apply_eq_one
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : HasOuterApproxClosed X] {F : Set X} (hF : IsClosed F) (n : ℕ)
{x : X}, x ∈ F → (hF.apprSeq n) x = 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- NNRealstatement · cited by 4,310
- le_antisymmproof · cited by 2,068
- IsClosedstatement and proof · cited by 1,639
- BoundedContinuousFunctionstatement · cited by 511
- HasOuterApproxClosedstatement and proof · cited by 65
- IsClosed.apprSeqstatement · cited by 10
- HasOuterApproxClosed.apprSeq_apply_le_oneproof · cited by 3
- HasOuterApproxClosed.exApprproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- HasOuterApproxClosed.measure_le_lintegralproof · cited by 1
- HasOuterApproxClosed.indicator_le_apprSeqproof · cited by 0