Theorems · Inductive type · category theory

MonCat.Colimits.Relation.below

{J : Type v} →
  [inst : CategoryTheory.Category.{u, v} J] →
    {F : CategoryTheory.Functor J MonCat} →
      {motive : (a a_1 : MonCat.Colimits.Prequotient F) → MonCat.Colimits.Relation F a a_1 → Prop} →
        {a a_1 : MonCat.Colimits.Prequotient F} → MonCat.Colimits.Relation F a a_1 → Prop

Defined in: Mathlib.Algebra.Category.MonCat.Colimits
Cited by: 1 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Quot.sound
Assumes: CategoryTheory.Category

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Cites5

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
MonCat.Colimits.Relationstatement · cited by 1

Cited by2

Results whose statement or proof uses this declaration.

MonCat.Colimits.Relation.brecOnstatement and proof · cited by 0
MonCat.Colimits.Relation.below.casesOnstatement and proof · cited by 0