Theorems · Theorem · category theory

CategoryTheory.Grothendieck.ext

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor C CategoryTheory.Cat}
  {X Y : CategoryTheory.Grothendieck F} (f g : X.Hom Y) (w_base : f.base = g.base),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom ⋯) f.fiber = g.fiber → f = g

Defined in

Mathlib.CategoryTheory.Grothendieck

Cited by

1 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category