Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.Cover.Arrow.noConfusion

{P : Sort u_1} →
  {C : Type u} →
    {inst : CategoryTheory.Category.{v, u} C} →
      {X : C} →
        {J : CategoryTheory.GrothendieckTopology C} →
          {S : J.Cover X} →
            {t : S.Arrow} →
              {C' : Type u} →
                {inst' : CategoryTheory.Category.{v, u} C'} →
                  {X' : C'} →
                    {J' : CategoryTheory.GrothendieckTopology C'} →
                      {S' : J'.Cover X'} →
                        {t' : S'.Arrow} →
                          C = C' →
                            inst ≍ inst' →
                              X ≍ X' →
                                J ≍ J' →
                                  S ≍ S' →
                                    t ≍ t' → CategoryTheory.GrothendieckTopology.Cover.Arrow.noConfusionType P t t'

Defined in

Mathlib.CategoryTheory.Sites.Grothendieck

Cited by

0 results in Mathlib

Foundations

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