Theorems · Theorem · general topology
interior_sInter
∀ {α : Type u_3} [inst : TopologicalSpace α] [AlexandrovDiscrete α] (S : Set (Set α)),
interior (⋂₀ S) = ⋂ s ∈ S, interior s- Defined in
- Mathlib.Topology.AlexandrovDiscrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Set.iInterstatement and proof · cited by 1,084
- interiorstatement and proof · cited by 714
- Set.sInterstatement · cited by 225
- AlexandrovDiscretestatement and proof · cited by 45
- Set.sInter_eq_biInterproof · cited by 23
- interior_iInterproof · cited by 2
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