Mathlib Map

Theorems · Theorem · category theory

CommGrpCat.ofHom_comp

∀ {X Y Z : Type u} [inst : CommGroup X] [inst_1 : CommGroup Y] [inst_2 : CommGroup Z] (f : X →* Y) (g : Y →* Z),
  CommGrpCat.ofHom (g.comp f) = CategoryTheory.CategoryStruct.comp (CommGrpCat.ofHom f) (CommGrpCat.ofHom g)
Defined in
Mathlib.Algebra.Category.Grp.Basic
Cited by
0 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
CommGroupCommGroupCommGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compMonoidHom · cited by 3629MonoidHomCommGroup · cited by 990CommGroupMonoidHom.comp · cited by 469MonoidHom.compCommGrpCat · cited by 74CommGrpCatCommGrpCat.of · cited by 28CommGrpCat.ofCommGrpCat.ofHom · cited by 19CommGrpCat.ofHomCommGrpCat.ofHom_compCITED BYCITES

Cites8

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.