Theorems · Theorem · general topology
OnePoint.infty_mem_opensOfCompl
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X} (h₁ : IsClosed s) (h₂ : IsCompact s),
OnePoint.infty ∈ OnePoint.opensOfCompl s h₁ h₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
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Cites10
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
- TopologicalSpace.Opensstatement · cited by 2,040
- IsClosedstatement and proof · cited by 1,639
- IsCompactstatement and proof · cited by 1,282
- OnePointstatement · cited by 126
- OnePoint.inftystatement · cited by 102
- Set.mem_complproof · cited by 18
- OnePoint.infty_notMem_image_coeproof · cited by 4
- OnePoint.opensOfComplstatement · cited by 1
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