Theorems · Theorem · category theory
AddCommGrpCat.image.fac
∀ {G H : AddCommGrpCat} (f : G ⟶ H),
CategoryTheory.CategoryStruct.comp (AddCommGrpCat.factorThruImage f) (AddCommGrpCat.image.ι f) = f- Defined in
- Mathlib.Algebra.Category.Grp.Images
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierproof · cited by 407
- AddMonoidHom.extproof · cited by 149
- AddCommGrpCat.Hom.homproof · cited by 72
- AddCommGrpCat.hom_extproof · cited by 13
- AddCommGrpCat.imagestatement · cited by 2
- AddCommGrpCat.image.ιstatement and proof · cited by 2
- AddCommGrpCat.factorThruImagestatement and proof · cited by 1
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