Theorems · Theorem · algebraic geometry
IsRetrocompact.inter
∀ {X : Type u_2} [inst : TopologicalSpace X] {s t : Set X} [T2Space X],
IsRetrocompact s → IsRetrocompact t → IsRetrocompact (s ∩ t)- Defined in
- Mathlib.Topology.Constructible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT2Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- IsOpenproof · cited by 2,400
- T2Spacestatement and proof · cited by 1,351
- IsCompactproof · cited by 1,282
- IsRetrocompactstatement and proof · cited by 43
- Set.inter_inter_distrib_rightproof · cited by 5
- IsCompact.interproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsRetrocompact.finsetInfproof · cited by 1