Theorems · Inductive type · category theory
MonCat.Colimits.Relation
{J : Type v} →
[inst : CategoryTheory.Category.{u, v} J] →
(F : CategoryTheory.Functor J MonCat) → MonCat.Colimits.Prequotient F → MonCat.Colimits.Prequotient F → PropThe relation on Prequotient saying when two expressions are equal
because of the monoid laws, or
because one element is mapped to another by a morphism in the diagram.
- Defined in
- Mathlib.Algebra.Category.MonCat.Colimits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MonCat.Colimits.Prequotientstatement · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- MonCat.Colimits.Relation.belowstatement · cited by 1
- MonCat.Colimits.Relation.brecOnstatement and proof · cited by 0
- MonCat.Colimits.Relation.casesOnstatement and proof · cited by 0
- MonCat.Colimits.Relation.recOnstatement and proof · cited by 0
- MonCat.Colimits.Relation.below.casesOnstatement and proof · cited by 0