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Theorems · Theorem · category theory

CategoryTheory.Equivalence.precoherent

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [CategoryTheory.Precoherent C] (e : C ≌ D),
  CategoryTheory.Precoherent D

Precoherent is preserved by equivalence of categories.

Defined in
Mathlib.CategoryTheory.Sites.Coherent.Equivalence
Cited by
11 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Precoherent

Around this declaration

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

CategoryTheory.Equivalence.sheafCongrPrecoherent · cited by 11Equivalence.sheafCongrPre…CategoryTheory.Equivalence.precoherent_isSheaf_iff · cited by 1Equivalence.precoherent_i…CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_hom_app_hom_app · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_inv_app_hom_app · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_map_hom_app · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_obj_obj_map · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_functor_obj_obj_obj · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_map_hom_app · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_obj_obj_map · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_inverse_obj_obj_obj · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_unitIso_hom_app_hom_app · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Equivalence.sheafCongrPrecoherent_unitIso_inv_app_hom_app · cited by 0Equivalence.sheafCongrPre…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Equivalence.inverse · cited by 1130Equivalence.inverseCategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceCategoryTheory.Precoherent · cited by 26CategoryTheory.PrecoherentCategoryTheory.Functor.reflects_precoherent · cited by 3Functor.reflects_precoher…Equivalence.precoherentCITED BYCITES

Cites5

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Cited by12

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