Theorems · Theorem · general topology
coe_irreducibleEquivPoints_symm_apply
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : QuasiSober α] [inst_2 : T0Space α] (x : α),
↑(irreducibleSetEquivPoints.symm x) = closure {x}- Defined in
- Mathlib.Topology.Sober
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement · cited by 8,199
- closurestatement · cited by 1,254
- OrderIsostatement · cited by 874
- OrderIso.symmstatement · cited by 475
- T0Spacestatement and proof · cited by 179
- QuasiSoberstatement and proof · cited by 31
- TopologicalSpace.IrreducibleClosedsstatement · cited by 30
- irreducibleSetEquivPointsstatement · cited by 3
- specializationOrderstatement · cited by 3
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