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Theorems · Theorem · category theory

Quiver.Hom.unop_op

∀ {C : Type u₁} [inst : Quiver C] {X Y : C} (f : X ⟶ Y), f.op.unop = f
Defined in
Mathlib.CategoryTheory.Opposites
Cited by
12 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
Quiver
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Around this declaration

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

CategoryTheory.Functor.map_opShiftFunctorEquivalence_counitIso_hom_app_unop · cited by 2Functor.map_opShiftFuncto…CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_zero_unitIso_inv_app · cited by 1Pretriangulated.opShiftFu…CategoryTheory.Presheaf.χ_unique · cited by 1Presheaf.χ_uniqueCategoryTheory.Limits.opProdIsoCoprod_inv_inl · cited by 1Limits.opProdIsoCoprod_in…CategoryTheory.CostructuredArrow.unop_left_comp_underlyingIso_hom_unop · cited by 1CostructuredArrow.unop_le…AlgebraicGeometry.IsOpenImmersion.app_eq_appIso_inv_app_of_comp_eq · cited by 1IsOpenImmersion.app_eq_ap…CategoryTheory.Limits.opProdIsoCoprod_inv_inr · cited by 1Limits.opProdIsoCoprod_in…CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_zero_unitIso_hom_app · cited by 0Pretriangulated.opShiftFu…CategoryTheory.CostructuredArrow.unop_left_comp_ofMkLEMk_unop · cited by 0CostructuredArrow.unop_le…CategoryTheory.Pretriangulated.Opposite.complete_distinguished_triangle_morphism · cited by 0Opposite.complete_disting…CategoryTheory.ShortComplex.SnakeInput.op_δ · cited by 0SnakeInput.op_δSSet.StrictSegal.quasicategory · cited by 0StrictSegal.quasicategoryQuiver.Hom · cited by 32603Quiver.HomOpposite.unop · cited by 2231Opposite.unopQuiver.Hom.op · cited by 1948Hom.opQuiver.Hom.unop · cited by 903Hom.unopQuiver · cited by 405QuiverHom.unop_opCITED BYCITES

Cites5

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Cited by12

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