Theorems · Theorem · category theory
topToLocale_map
∀ {X Y : TopCat} (f : X ⟶ Y), topToLocale.map f = (Frm.ofHom (TopologicalSpace.Opens.comap (TopCat.Hom.hom f))).op- Defined in
- Mathlib.Topology.Category.Locale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement · cited by 8,081
- TopCat.carrierstatement · cited by 3,184
- Opposite.unopstatement · cited by 2,231
- TopologicalSpace.Opensstatement · cited by 2,040
- Quiver.Hom.opstatement · cited by 1,948
- TopCatstatement and proof · cited by 1,889
- TopCat.Hom.homstatement · cited by 169
- TopologicalSpace.Opens.comapstatement · cited by 32
- Frmstatement · cited by 29
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.