Mathlib Map

Theorems · Theorem · general topology

isPreirreducible_empty

∀ {X : Type u_1} [inst : TopologicalSpace X], IsPreirreducible ∅
Defined in
Mathlib.Topology.Irreducible
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isPreconnected_empty · cited by 14isPreconnected_emptyIsPreirreducible.open_subset · cited by 2IsPreirreducible.open_sub…IsPreirreducible.of_subset_iUnion · cited by 1IsPreirreducible.of_subse…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.Nonempty · cited by 2627Set.NonemptyIsOpen · cited by 2400IsOpenIsPreirreducible · cited by 43IsPreirreducibleisPreirreducible_emptyCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.