Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Limits.coequalizer.isoTargetOfSelf_hom

∀ {C : Type u} {X Y : C} [inst : CategoryTheory.Category.{v, u} C] (f : X ⟶ Y),
  (CategoryTheory.Limits.coequalizer.isoTargetOfSelf f).hom =
    CategoryTheory.Limits.coequalizer.desc (CategoryTheory.CategoryStruct.id Y) ⋯
Defined in
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
Cited by
1 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Limits.cokernelZeroIsoTarget_hom · cited by 0Limits.cokernelZeroIsoTar…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Limits.colimit.ι_desc · cited by 170colimit.ι_descCategoryTheory.IsIso.hom_inv_id · cited by 97IsIso.hom_inv_idCategoryTheory.Limits.coequalizer.π · cited by 93coequalizer.πCategoryTheory.Limits.coequalizer · cited by 79Limits.coequalizerCategoryTheory.Limits.Cofork.ofπ · cited by 56Cofork.ofπCategoryTheory.Limits.coequalizer.hom_ext · cited by 38coequalizer.hom_extCategoryTheory.Limits.coequalizer.desc · cited by 37coequalizer.descCategoryTheory.Limits.coequalizer.isoTargetOfSelf · cited by 2coequalizer.isoTargetOfSe…coequalizer.isoTargetOfSelf_h…CITED BYCITES

Cites12

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

Cited by1

Results whose statement or proof uses this declaration.