Theorems · Definition · category theory
CategoryTheory.CommGrp.forget
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.Functor (CategoryTheory.CommGrp C) CThe forgetful functor from commutative group objects to the ambient category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommGrp_
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommGrpstatement · cited by 74
- CategoryTheory.CommGrp.forget₂Grpproof · cited by 19
- CategoryTheory.Grp.forgetproof · cited by 7
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Preadditive.commGrpEquivalenceproof · cited by 11
- CategoryTheory.Preadditive.commGrpEquivalenceAuxstatement and proof · cited by 2
- CategoryTheory.CommGrp.forget_mapstatement and proof · cited by 0
- CategoryTheory.CommGrp.forget_objstatement and proof · cited by 0
- CategoryTheory.CommGrp.forget₂CommMon_comp_forgetstatement · cited by 0
- CategoryTheory.Preadditive.commGrpEquivalenceAux_hom_app_hom_hom_homstatement · cited by 0
- CategoryTheory.Preadditive.commGrpEquivalenceAux_inv_app_hom_hom_homstatement · cited by 0
- CategoryTheory.Preadditive.commGrpEquivalence_counitIso_hom_app_hom_hom_homstatement · cited by 0
- CategoryTheory.Preadditive.commGrpEquivalence_counitIso_inv_app_hom_hom_homstatement · cited by 0
- CategoryTheory.CommGrp.forget₂Grp_comp_forgetstatement · cited by 0