Theorems · Theorem · general topology
PrimitiveSpectrum.gc_closureOperator
∀ {α : Type u_1} [inst : CompleteLattice α] {T : Set α} (S : Set ↑T),
⋯.closureOperator S = PrimitiveSpectrum.hull T (PrimitiveSpectrum.kernel S)- Defined in
- Mathlib.Topology.Order.HullKernel
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Equivstatement and proof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- CompleteLatticestatement and proof · cited by 1,048
- SupSet.sSupproof · cited by 954
- InfSet.sInfproof · cited by 935
- OrderDualstatement and proof · cited by 927
- OrderDual.toDualstatement and proof · cited by 481
- OrderDual.ofDualstatement and proof · cited by 400
Cited by1
Results whose statement or proof uses this declaration.
- PrimitiveSpectrum.closedsGC_closureOperatorproof · cited by 0