Theorems · Theorem · general topology
iUnion_closure_compactCovering
∀ (X : Type u_1) [inst : TopologicalSpace X] [inst_1 : SigmaCompactSpace X], ⋃ n, closure (compactCovering X n) = Set.univ
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 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.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- Set.iUnionstatement · cited by 2,483
- closurestatement · cited by 1,254
- subset_closureproof · cited by 309
- SigmaCompactSpacestatement and proof · cited by 55
- Set.iUnion_monoproof · cited by 21
- compactCoveringstatement · cited by 14
- eq_top_monoproof · cited by 12
- iUnion_compactCoveringproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_eq_zero_of_forall_setIntegral_isCompact_eq_zeroproof · cited by 1
- MeasureTheory.ae_eq_zero_of_forall_setIntegral_isCompact_eq_zero'proof · cited by 1