Theorems · Theorem · general topology
irreducibleSpace_def
∀ (X : Type u_3) [inst : TopologicalSpace X], IrreducibleSpace X ↔ IsIrreducible ⊤
- Defined in
- Mathlib.Topology.Irreducible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Top.topstatement and proof · cited by 9,680
- IsIrreduciblestatement and proof · cited by 59
- Set.Nonempty.someproof · cited by 53
- IrreducibleSpacestatement · cited by 40
- IrreducibleSpace.isIrreducible_univproof · cited by 7
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