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Theorems · Theorem · category theory

CategoryTheory.Endofunctor.Coalgebra.Hom.ext

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {F : CategoryTheory.Functor C C}
  {V₀ V₁ : CategoryTheory.Endofunctor.Coalgebra F} {x y : V₀.Hom V₁}, x.f = y.f → x = y
Defined in
Mathlib.CategoryTheory.Endofunctor.Algebra
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
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CategoryTheory.Endofunctor.Coalgebra.ext · cited by 2Coalgebra.extCategoryTheory.Endofunctor.Coalgebra.Hom.ext_iff · cited by 0Hom.ext_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Endofunctor.Coalgebra · cited by 70Endofunctor.CoalgebraCategoryTheory.Endofunctor.Coalgebra.V · cited by 52Coalgebra.VCategoryTheory.Endofunctor.Coalgebra.Hom.f · cited by 38Hom.fCategoryTheory.Endofunctor.Coalgebra.str · cited by 24Coalgebra.strCategoryTheory.Endofunctor.Coalgebra.Hom · cited by 10Coalgebra.HomHom.extCITED BYCITES

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