Theorems · Theorem · general topology
IsMeagre.empty
∀ {X : Type u_1} [inst : TopologicalSpace X], IsMeagre ∅The empty set is meagre.
- Defined in
- Mathlib.Topology.GDelta.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 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.
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
- Filter.univ_memproof · cited by 96
- Set.compl_emptyproof · cited by 33
- residualproof · cited by 23
- IsMeagrestatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- nonempty_of_not_isMeagreproof · cited by 0