Theorems · Definition · category theory
AddMonCat.equivalence
AddMonCat ≌ MonCat
The equivalence between AddMonCat and MonCat.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Functor.idproof · cited by 3,333
- Multiplicativeproof · cited by 875
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Equivalencestatement · cited by 601
- Additiveproof · cited by 356
- MonCatstatement and proof · cited by 127
- MonCat.carrierproof · cited by 107
- AddMonCatstatement and proof · cited by 71
- AddMonCat.carrierproof · cited by 60
Cited by6
Results whose statement or proof uses this declaration.
- AddMonCat.equivalence_counitIsostatement and proof · cited by 0
- AddMonCat.equivalence_functor_mapstatement and proof · cited by 0
- AddMonCat.equivalence_functor_obj_coestatement and proof · cited by 0
- AddMonCat.equivalence_inverse_mapstatement and proof · cited by 0
- AddMonCat.equivalence_inverse_obj_coestatement and proof · cited by 0
- AddMonCat.equivalence_unitIsostatement and proof · cited by 0