Theorems · Inductive type · category theory
MonCat.Colimits.Prequotient
{J : Type v} → [inst : CategoryTheory.Category.{u, v} J] → CategoryTheory.Functor J MonCat → Type vAn inductive type representing all monoid expressions (without relations)
on a collection of types indexed by the objects of J.
- Defined in
- Mathlib.Algebra.Category.MonCat.Colimits
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- MonCatstatement · cited by 127
Cited by33
Results whose statement or proof uses this declaration.
- MonCat.Colimits.Prequotient.brecOn.gostatement and proof · cited by 2
- MonCat.Colimits.Prequotient.belowstatement and proof · cited by 2
- MonCat.Colimits.Prequotient.brecOn.eqstatement and proof · cited by 1
- MonCat.Colimits.Relationstatement · cited by 1
- MonCat.Colimits.Prequotient.mul.injstatement and proof · cited by 1
- MonCat.Colimits.Prequotient.mul.noConfusionstatement and proof · cited by 1
- MonCat.Colimits.Prequotient.of.injstatement · cited by 1
- MonCat.Colimits.Prequotient.of.noConfusionstatement · cited by 1
- MonCat.Colimits.descFunLiftstatement and proof · cited by 1
- MonCat.Colimits.Prequotient.brecOnstatement and proof · cited by 1
- MonCat.Colimits.Prequotient.casesOnstatement and proof · cited by 1
- MonCat.Colimits.Relation.belowstatement · cited by 1