Mathlib Map

Theorems · Definition · category theory

CategoryTheory.ObjectProperty.ColimitOfShape.toColimitPresentation

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {P : CategoryTheory.ObjectProperty C} →
      {J : Type u'} →
        [inst_1 : CategoryTheory.Category.{v', u'} J] →
          {X : C} → P.ColimitOfShape J X → CategoryTheory.Limits.ColimitPresentation J X
Defined in
Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape
Cited by
22 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ObjectProperty.ColimitOfShape.prop_diag_obj · cited by 17ColimitOfShape.prop_diag_…CategoryTheory.ObjectProperty.ColimitOfShape.ofLE · cited by 2ColimitOfShape.ofLECategoryTheory.ObjectProperty.IsStrongGenerator.mk_of_exists_colimitsOfShape · cited by 2IsStrongGenerator.mk_of_e…CategoryTheory.ObjectProperty.ColimitOfShape.reindex · cited by 2ColimitOfShape.reindexCategoryTheory.ObjectProperty.ColimitOfShape.toCostructuredArrow · cited by 2ColimitOfShape.toCostruct…CategoryTheory.ObjectProperty.limitsOfShape_eq_unop_colimitsOfShape · cited by 2ObjectProperty.limitsOfSh…CategoryTheory.ObjectProperty.colimitsOfShape_eq_unop_limitsOfShape · cited by 2ObjectProperty.colimitsOf…CategoryTheory.Adjunction.isCardinalFilteredGenerator · cited by 1Adjunction.isCardinalFilt…CategoryTheory.ObjectProperty.ColimitOfShape.isCardinalPresentable · cited by 1ColimitOfShape.isCardinal…CategoryTheory.MorphismProperty.isClosedUnderColimitsOfShape_isLocal · cited by 1MorphismProperty.isClosed…CategoryTheory.ObjectProperty.ColimitOfShape.ofIso · cited by 1ColimitOfShape.ofIsoCategoryTheory.ObjectProperty.IsCardinalFilteredGenerator.essentiallyLarge_top · cited by 1IsCardinalFilteredGenerat…CategoryTheory.ObjectProperty.isClosedUnderColimitsOfShape_of_preservesColimitsOfShape_ι · cited by 1ObjectProperty.isClosedUn…CategoryTheory.ObjectProperty.IsCardinalFilteredGenerator.isPresentable_eq_retractClosure · cited by 1IsCardinalFilteredGenerat…CategoryTheory.ObjectProperty.IsSeparating.mk_of_exists_colimitsOfShape · cited by 1IsSeparating.mk_of_exists…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.Limits.ColimitPresentation · cited by 54Limits.ColimitPresentationCategoryTheory.ObjectProperty.ColimitOfShape · cited by 30ObjectProperty.ColimitOfS…ColimitOfShape.toColimitPrese…CITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by26

Results whose statement or proof uses this declaration.