Theorems · Definition · category theory

CategoryTheory.CategoryOfElements.isoMk

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {F : CategoryTheory.Functor C (Type w)} →
      (x y : F.Elements) →
        (e : x.fst ≅ y.fst) → (CategoryTheory.ConcreteCategory.hom (F.map e.hom)) x.snd = y.snd → (x ≅ y)

Constructor for isomorphisms in the category of elements of a functor to types.

Defined in

Mathlib.CategoryTheory.Elements

Cited by

5 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category