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Theorems · Theorem · general topology

isPreirreducible_singleton

∀ {X : Type u_1} [inst : TopologicalSpace X] {x : X}, IsPreirreducible {x}
Defined in
Mathlib.Topology.Irreducible
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

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

isIrreducible_singleton · cited by 4isIrreducible_singletonirreducibleComponent_property · cited by 3irreducibleComponent_prop…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsPreirreducible · cited by 43IsPreirreducibleSet.subsingleton_singleton · cited by 36Set.subsingleton_singletonSet.Subsingleton.isPreirreducible · cited by 4Subsingleton.isPreirreduc…isPreirreducible_singletonCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.