Theorems · Theorem · general topology
topToPreord_map
∀ {X Y : TopCat} (f : X ⟶ Y), topToPreord.map f = Preord.ofHom (Specialization.map (TopCat.Hom.hom f))- Defined in
- Mathlib.Topology.Specialization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- TopCat.Hom.homstatement · cited by 169
- Preordstatement · cited by 42
- Specializationstatement · cited by 15
- Preord.ofHomstatement · cited by 9
- topToPreordstatement and proof · cited by 5
- Specialization.mapstatement · cited by 3
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