Theorems · Definition · general topology
topToPreord
CategoryTheory.Functor TopCat Preord
Sends a topological space to its specialisation order.
- Defined in
- Mathlib.Topology.Specialization
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- TopCat.carrierproof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- TopCat.Hom.homproof · cited by 169
- Preordstatement · cited by 42
- Specializationproof · cited by 15
- Preord.ofHomproof · cited by 9
- Specialization.mapproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- alexDiscEquivPreordproof · cited by 6
- alexDiscEquivPreord_unitIsostatement · cited by 0
- topToPreord_mapstatement and proof · cited by 0
- topToPreord_obj_coestatement and proof · cited by 0
- alexDiscEquivPreord_counitIsostatement · cited by 0
- alexDiscEquivPreord_functorstatement · cited by 0