Mathlib Map

Theorems · Definition · category theory

CategoryTheory.ShortComplex.unopFunctor

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      CategoryTheory.Functor (CategoryTheory.ShortComplex Cᵒᵖ) (CategoryTheory.ShortComplex C)ᵒᵖ

The obvious functor ShortComplex Cᵒᵖ ⥤ (ShortComplex C)ᵒᵖ.

Defined in
Mathlib.Algebra.Homology.ShortComplex.Basic
Cited by
4 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.ShortComplex.opEquiv · cited by 4ShortComplex.opEquivCategoryTheory.ShortComplex.opEquiv_inverse · cited by 0ShortComplex.opEquiv_inve…CategoryTheory.ShortComplex.opEquiv_counitIso · cited by 0ShortComplex.opEquiv_coun…CategoryTheory.ShortComplex.unopFunctor_map · cited by 0ShortComplex.unopFunctor_…CategoryTheory.ShortComplex.unopFunctor_obj · cited by 0ShortComplex.unopFunctor_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsQuiver.Hom.op · cited by 1948Hom.opCategoryTheory.ShortComplex · cited by 1850CategoryTheory.ShortCompl…CategoryTheory.ShortComplex.unop · cited by 44ShortComplex.unopCategoryTheory.ShortComplex.unopMap · cited by 16ShortComplex.unopMapShortComplex.unopFunctorCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.