Theorems · Theorem · category theory
AddCommGrpCat.ker_eq_bot_of_mono
∀ {A B : AddCommGrpCat} (f : A ⟶ B) [CategoryTheory.Mono f], (AddCommGrpCat.Hom.hom f).ker = ⊥- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Mono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Bot.botstatement · cited by 4,720
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomproof · cited by 3,230
- CategoryTheory.Monostatement and proof · cited by 893
- AddCommGrpCatstatement and proof · cited by 462
- CategoryTheory.cancel_monoproof · cited by 435
- AddCommGrpCat.carrierstatement and proof · cited by 407
- AddMonoidHom.compproof · cited by 339
- AddMonoidHom.kerstatement and proof · cited by 158
- CategoryTheory.ConcreteCategory.extproof · cited by 107
- AddCommGrpCat.Hom.homstatement and proof · cited by 72
Cited by1
Results whose statement or proof uses this declaration.
- AddCommGrpCat.mono_iff_ker_eq_botproof · cited by 1