Theorems · Definition · category theory

CategoryTheory.Abelian.im

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Abelian C] → CategoryTheory.Functor (CategoryTheory.Arrow C) C

Abelian.image as a functor from the arrow category.

Defined in: Mathlib.CategoryTheory.Abelian.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Abelian

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Cites12

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

CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homproof · cited by 32,603
CategoryTheory.CategoryStruct.compproof · cited by 17,999
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Abelianstatement and proof · cited by 1,753
CategoryTheory.Arrowstatement and proof · cited by 713
CategoryTheory.Arrow.homproof · cited by 335
CategoryTheory.Limits.cokernel.πproof · cited by 194
CategoryTheory.Arrow.Hom.rightproof · cited by 176
CategoryTheory.Limits.kernel.liftproof · cited by 64
CategoryTheory.Abelian.imageproof · cited by 57
CategoryTheory.Abelian.image.ιproof · cited by 25

Cited by5

Results whose statement or proof uses this declaration.

CategoryTheory.Abelian.coimIsoImstatement · cited by 2
CategoryTheory.Abelian.coimIsoIm_hom_appstatement · cited by 0
CategoryTheory.Abelian.coimIsoIm_inv_appstatement · cited by 0
CategoryTheory.Abelian.im_mapstatement and proof · cited by 0
CategoryTheory.Abelian.im_objstatement and proof · cited by 0