Theorems · Definition · category theory

CategoryTheory.CommaMorphism.noConfusion

{P : Sort u} →
  {A : Type u₁} →
    {inst : CategoryTheory.Category.{v₁, u₁} A} →
      {B : Type u₂} →
        {inst_1 : CategoryTheory.Category.{v₂, u₂} B} →
          {T : Type u₃} →
            {inst_2 : CategoryTheory.Category.{v₃, u₃} T} →
              {L : CategoryTheory.Functor A T} →
                {R : CategoryTheory.Functor B T} →
                  {X Y : CategoryTheory.Comma L R} →
                    {t : CategoryTheory.CommaMorphism X Y} →
                      {A' : Type u₁} →
                        {inst' : CategoryTheory.Category.{v₁, u₁} A'} →
                          {B' : Type u₂} →
                            {inst'_1 : CategoryTheory.Category.{v₂, u₂} B'} →
                              {T' : Type u₃} →
                                {inst'_2 : CategoryTheory.Category.{v₃, u₃} T'} →
                                  {L' : CategoryTheory.Functor A' T'} →
                                    {R' : CategoryTheory.Functor B' T'} →
                                      {X' Y' : CategoryTheory.Comma L' R'} →
                                        {t' : CategoryTheory.CommaMorphism X' Y'} →
                                          A = A' →
                                            inst ≍ inst' →
                                              B = B' →
                                                inst_1 ≍ inst'_1 →
                                                  T = T' →
                                                    inst_2 ≍ inst'_2 →
                                                      L ≍ L' →
                                                        R ≍ R' →
                                                          X ≍ X' →
                                                            Y ≍ Y' →
                                                              t ≍ t' →
                                                                CategoryTheory.CommaMorphism.noConfusionType P t t'

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms