Theorems · Theorem · general topology
isPreirreducible_iff_preirreducibleSpace
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X}, IsPreirreducible s ↔ PreirreducibleSpace ↑s- Defined in
- Mathlib.Topology.Irreducible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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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
- Set.Elemstatement and proof · cited by 7,166
- IsPreirreduciblestatement · cited by 43
- PreirreducibleSpacestatement and proof · cited by 33
- IsPreirreducible.of_subtypeproof · cited by 3
- Subtype.preirreducibleSpaceproof · cited by 1
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