Theorems · Definition · category theory
CommGrpCat.ofHom
{X Y : Type u} → [inst : CommGroup X] → [inst_1 : CommGroup Y] → (X →* Y) → (CommGrpCat.of X ⟶ CommGrpCat.of Y)Typecheck a MonoidHom as a morphism in CommGrpCat.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- MonoidHomstatement and proof · cited by 3,629
- CommGroupstatement and proof · cited by 990
- CommGrpCatstatement · cited by 74
- CommGrpCat.ofstatement · cited by 28
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
Cited by38
Results whose statement or proof uses this declaration.
- CommGrpCat.coyonedaproof · cited by 5
- CategoryTheory.yonedaCommGrpGrpObjproof · cited by 4
- AddCommGrpCat.toCommGrpproof · cited by 4
- CommGrpCat.coyonedaTypeproof · cited by 3
- CommMonCat.unitsproof · cited by 3
- CategoryTheory.yonedaCommGrpGrpproof · cited by 2
- CommGrpCat.uliftFunctorproof · cited by 2
- CommGrpCat.binaryProductLimitConeproof · cited by 2
- MulEquiv.toCommGrpIsoproof · cited by 2
- CommGrpCat.coyonedaForgetproof · cited by 2
- CommRing.Pic.functorproof · cited by 0
- CommGrpCat.ofHom_applystatement · cited by 0