Theorems · Theorem · category theory
CategoryTheory.Endofunctor.Coalgebra.iso_of_iso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor C C}
{V₀ V₁ : CategoryTheory.Endofunctor.Coalgebra F} (f : V₀ ⟶ V₁) [CategoryTheory.IsIso f.f], CategoryTheory.IsIso fA coalgebra morphism with an underlying isomorphism hom in C is a coalgebra isomorphism.
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- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- CategoryTheory.IsIso.hom_inv_idproof · cited by 97
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