Theorems · Definition · category theory
MonCat.FilteredColimits.M
{J : Type v} → [inst : CategoryTheory.SmallCategory J] → CategoryTheory.Functor J MonCat → Type (max u v)The colimit of F ⋙ forget MonCat in the category of types.
In the following, we will construct a monoid structure on M.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.SmallCategory
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.
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CategoryTheory.forgetproof · cited by 418
- MonCatstatement and proof · cited by 127
- CategoryTheory.Functor.ColimitTypeproof · cited by 37
Cited by12
Results whose statement or proof uses this declaration.
- MonCat.FilteredColimits.M.mkstatement · cited by 6
- MonCat.FilteredColimits.M.mk_eqstatement · cited by 5
- MonCat.FilteredColimits.colimitMulAuxstatement · cited by 2
- MonCat.FilteredColimits.colimit_mul_mk_eqstatement · cited by 2
- MonCat.FilteredColimits.colimitproof · cited by 1
- MonCat.FilteredColimits.colimit_one_eqstatement · cited by 1
- MonCat.FilteredColimits.colimitDescproof · cited by 0
- MonCat.FilteredColimits.M.map_mkstatement · cited by 0
- MonCat.FilteredColimits.colimitMulAux_eq_of_rel_leftstatement · cited by 0
- MonCat.FilteredColimits.colimitMulAux_eq_of_rel_rightstatement · cited by 0
- MonCat.FilteredColimits.M.mk_surjectivestatement and proof · cited by 0
- MonCat.FilteredColimits.colimit_mul_mk_eq'statement · cited by 0