Theorems · Theorem · general topology

exists_preirreducible

∀ {X : Type u_1} [inst : TopologicalSpace X] (s : Set X),
  IsPreirreducible s → ∃ t, IsPreirreducible t ∧ s ⊆ t ∧ ∀ (u : Set X), IsPreirreducible u → t ⊆ u → u = t

Defined in

Mathlib.Topology.Irreducible

Cited by

2 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace