Theorems · Theorem · category theory

CompHausLike.LocallyConstant.counit.congr_simp

∀ (P : TopCat → Prop) [inst : ∀ (S : CompHausLike P) (p : ↑S.toTop → Prop), CompHausLike.HasProp P (Subtype p)]
  [inst_1 : CompHausLike.HasProp P PUnit.{u + 1}] [inst_2 : CompHausLike.HasExplicitFiniteCoproducts P]
  [inst_3 : CompHausLike.HasExplicitPullbacks P]
  (hs :
    ∀ ⦃X Y : CompHausLike P⦄ (f : X ⟶ Y),
      CategoryTheory.EffectiveEpi f → Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f))
  [inst_4 : CompHausLike.HasExplicitFiniteCoproducts P],
  CompHausLike.LocallyConstant.counit P hs = CompHausLike.LocallyConstant.counit P hs

Defined in

Mathlib.Condensed.Discrete.LocallyConstant

Cited by

0 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompHausLike.HasPropCompHausLike.HasPropCompHausLike.HasExplicitFiniteCoproductsCompHausLike.HasExplicitPullbacksCompHausLike.HasExplicitFiniteCoproducts