Theorems · Inductive type · category theory
RingCat.Colimits.Prequotient
{J : Type v} → [inst : CategoryTheory.SmallCategory J] → CategoryTheory.Functor J RingCat → Type vAn inductive type representing all ring expressions (without Relations)
on a collection of types indexed by the objects of J.
- Defined in
- Mathlib.Algebra.Category.Ring.Colimits
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.SmallCategory
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.Functorstatement · cited by 16,252
- CategoryTheory.SmallCategorystatement · cited by 480
- RingCatstatement · cited by 473
Cited by48
Results whose statement or proof uses this declaration.
- RingCat.Colimits.Prequotient.belowstatement and proof · cited by 2
- RingCat.Colimits.Prequotient.brecOn.gostatement and proof · cited by 2
- RingCat.Colimits.Prequotient.brecOnstatement and proof · cited by 1
- RingCat.Colimits.Prequotient.casesOnstatement and proof · cited by 1
- RingCat.Colimits.Relation.belowstatement · cited by 1
- RingCat.Colimits.Relationstatement · cited by 1
- RingCat.Colimits.descFunLiftstatement and proof · cited by 1
- RingCat.Colimits.Prequotient.add.injstatement and proof · cited by 1
- RingCat.Colimits.Prequotient.add.noConfusionstatement and proof · cited by 1
- RingCat.Colimits.Prequotient.brecOn.eqstatement and proof · cited by 1
- RingCat.Colimits.Prequotient.mul.injstatement and proof · cited by 1
- RingCat.Colimits.Prequotient.mul.noConfusionstatement and proof · cited by 1