Theorems · Theorem · category theory

CompHausLike.LocallyConstant.functor_obj_obj_obj

∀ (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 : Type (max u w)) (x : (CompHausLike P)ᵒᵖ),
  ((CompHausLike.LocallyConstant.functor P hs).obj X).obj.obj x = LocallyConstant (↑(Opposite.unop x).toTop) X

Defined in

Mathlib.Condensed.Discrete.LocallyConstant

Cited by

1 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompHausLike.HasExplicitFiniteCoproductsCompHausLike.HasExplicitPullbacks