Theorems · Theorem · general topology
IsPreirreducible.of_subtype
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X} [PreirreducibleSpace ↑s], IsPreirreducible s- Defined in
- Mathlib.Topology.Irreducible
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.image_univproof · cited by 322
- Continuous.continuousOnproof · cited by 311
- continuous_subtype_valproof · cited by 159
- Subtype.range_coeproof · cited by 98
- IsPreirreduciblestatement and proof · cited by 43
- PreirreducibleSpacestatement and proof · cited by 33
- PreirreducibleSpace.isPreirreducible_univproof · cited by 7
- IsPreirreducible.imageproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- IsIrreducible.of_subtypeproof · cited by 1
- PreirreducibleSpace.of_isOpenCoverproof · cited by 0
- isPreirreducible_iff_preirreducibleSpaceproof · cited by 0