Theorems · Theorem · category theory
AddCommGrpCat.injective_of_mono
∀ {G H : AddCommGrpCat} (f : G ⟶ H) [CategoryTheory.Mono f], Function.Injective ⇑(CategoryTheory.ConcreteCategory.hom f)- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Mono
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- AddMonoidHomstatement · 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
- AddCommGrpCat.Hom.homproof · cited by 72
- one_zsmulproof · cited by 59
- AddCommGrpCat.asHomproof · cited by 3
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