Theorems · Theorem · general topology
IsClosed.interior_union_right
∀ {X : Type u} [inst : TopologicalSpace X] {s t : Set X}, IsClosed t → interior (s ∪ t) ⊆ interior s ∪ t- Defined in
- Mathlib.Topology.Neighborhoods
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites6
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
- IsClosedstatement and proof · cited by 1,639
- interiorstatement and proof · cited by 714
- Set.union_commproof · cited by 99
- IsClosed.interior_union_leftproof · cited by 2
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