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Theorems · Definition · category theory

CategoryTheory.Limits.StrongEpiMonoFactorisation.mk.noConfusion

{C : Type u} →
  {inst : CategoryTheory.Category.{v, u} C} →
    {X Y : C} →
      {f : X ⟶ Y} →
        {P : Sort u_1} →
          {toMonoFactorisation : CategoryTheory.Limits.MonoFactorisation f} →
            {e_strong_epi : CategoryTheory.StrongEpi toMonoFactorisation.e} →
              {toMonoFactorisation' : CategoryTheory.Limits.MonoFactorisation f} →
                {e_strong_epi' : CategoryTheory.StrongEpi toMonoFactorisation'.e} →
                  { toMonoFactorisation := toMonoFactorisation, e_strong_epi := e_strong_epi } =
                      { toMonoFactorisation := toMonoFactorisation', e_strong_epi := e_strong_epi' } →
                    (toMonoFactorisation ≍ toMonoFactorisation' → P) → P
Defined in
Mathlib.CategoryTheory.Limits.Shapes.Images
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
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CategoryTheory.Limits.StrongEpiMonoFactorisation.mk.inj · cited by 1mk.injCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Limits.MonoFactorisation.I · cited by 83MonoFactorisation.ICategoryTheory.Limits.MonoFactorisation · cited by 69Limits.MonoFactorisationCategoryTheory.Limits.MonoFactorisation.e · cited by 39MonoFactorisation.eCategoryTheory.StrongEpi · cited by 21CategoryTheory.StrongEpiCategoryTheory.Limits.StrongEpiMonoFactorisation · cited by 8Limits.StrongEpiMonoFacto…CategoryTheory.Limits.StrongEpiMonoFactorisation.noConfusion · cited by 0StrongEpiMonoFactorisatio…mk.noConfusionCITED BYCITES

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