Theorems · Definition · category theory
CommMonCat.units
CategoryTheory.Functor CommMonCat CommGrpCat
The functor taking a monoid to its subgroup of units.
- Defined in
- Mathlib.Algebra.Category.Grp.Adjunctions
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Unitsproof · cited by 2,804
- Units.mapproof · cited by 95
- CommGrpCatstatement · cited by 74
- CommMonCatstatement and proof · cited by 51
- CommMonCat.carrierproof · cited by 44
- CommGrpCat.ofproof · cited by 28
- CommMonCat.Hom.homproof · cited by 20
- CommGrpCat.ofHomproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- CommGrpCat.forget₂CommMonAdjstatement and proof · cited by 0
- CommMonCat.units_obj_coestatement and proof · cited by 0
- CommMonCat.val_inv_units_map_hom_applystatement and proof · cited by 0
- CommMonCat.val_units_map_hom_applystatement and proof · cited by 0