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Theorems · Theorem · category theory

CategoryTheory.eq_conj_eqToHom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (f : X ⟶ Y),
  f =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom ⋯)
      (CategoryTheory.CategoryStruct.comp f (CategoryTheory.eqToHom ⋯))
Defined in
Mathlib.CategoryTheory.EqToHom
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext
Assumes
CategoryTheory.Category
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Subgroupoid.Map.arrows_iff · cited by 3Map.arrows_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Category.comp_id · cited by 2119Category.comp_idCategoryTheory.Category.id_comp · cited by 1998Category.id_compCategoryTheory.eqToHom · cited by 860CategoryTheory.eqToHomCategoryTheory.eq_conj_eqToHomCITED BYCITES

Cites7

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Cited by1

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