Theorems · Theorem · algebraic geometry
IsRetrocompact.union
∀ {X : Type u_2} [inst : TopologicalSpace X] {s t : Set X}, IsRetrocompact s → IsRetrocompact t → IsRetrocompact (s ∪ t)- Defined in
- Mathlib.Topology.Constructible
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- IsOpenproof · cited by 2,400
- IsCompactproof · cited by 1,282
- IsRetrocompactstatement and proof · cited by 43
- Set.union_inter_distrib_rightproof · cited by 28
- IsCompact.unionproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- Topology.IsConstructible.induction_of_isTopologicalBasisproof · cited by 1
- IsRetrocompact.finsetSupproof · cited by 1