Theorems · Theorem · category theory

topCatToSheafCompHausLike_map_hom_app

∀ (P : TopCat → Prop) [inst : CompHausLike.HasExplicitFiniteCoproducts P] [inst_1 : CompHausLike.HasExplicitPullbacks P]
  (hs :
    ∀ ⦃X Y : CompHausLike P⦄ (f : X ⟶ Y),
      CategoryTheory.EffectiveEpi f → Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f))
  {X Y : TopCat} (f : X ⟶ Y) (x : (CompHausLike P)ᵒᵖ),
  ((topCatToSheafCompHausLike P hs).map f).hom.app x = TypeCat.ofHom fun g => (TopCat.Hom.hom f).comp g

Defined in

Mathlib.Condensed.TopComparison

Cited by

0 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompHausLike.HasExplicitFiniteCoproductsCompHausLike.HasExplicitPullbacks