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Theorems · Definition · category theory

CategoryTheory.Limits.MultispanIndex.multispan

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.Limits.MultispanShape} →
      CategoryTheory.Limits.MultispanIndex J C → CategoryTheory.Functor (CategoryTheory.Limits.WalkingMultispan J) C

The multispan associated to I : MultispanIndex.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
Cited by
139 results in Mathlib
Foundations
Depth 16 from the axioms, rests on 92 definitions · uses propext
Assumes
CategoryTheory.Category
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Around this declaration

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

CategoryTheory.Limits.Multicofork.π · cited by 50Multicofork.πCategoryTheory.Limits.Multicofork · cited by 43Limits.MulticoforkCategoryTheory.Limits.HasMulticoequalizer · cited by 38Limits.HasMulticoequalizerCategoryTheory.Limits.Multicoequalizer.π · cited by 25Multicoequalizer.πCategoryTheory.Limits.Multicofork.ofπ · cited by 15Multicofork.ofπCategoryTheory.Limits.multicoequalizer · cited by 12Limits.multicoequalizerCategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCofork · cited by 11MultispanIndex.multicofor…CategoryTheory.Limits.Multicoequalizer.desc · cited by 10Multicoequalizer.descCategoryTheory.Limits.Multicofork.condition · cited by 9Multicofork.conditionCategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctor · cited by 9MultispanIndex.ofSigmaCof…CategoryTheory.Limits.MultispanIndex.toSigmaCoforkFunctor · cited by 9MultispanIndex.toSigmaCof…CategoryTheory.GlueData.gluedIso · cited by 9GlueData.gluedIsoCategoryTheory.Limits.Multicoequalizer.hom_ext · cited by 8Multicoequalizer.hom_extSSet.horn.isColimit · cited by 8horn.isColimitCategoryTheory.GlueData.diagramIso · cited by 8GlueData.diagramIsoCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Limits.WalkingMultispan · cited by 151Limits.WalkingMultispanCategoryTheory.Limits.MultispanShape.R · cited by 133MultispanShape.RCategoryTheory.Limits.MultispanShape.L · cited by 129MultispanShape.LCategoryTheory.Limits.MultispanIndex.right · cited by 117MultispanIndex.rightCategoryTheory.Limits.MultispanIndex · cited by 102Limits.MultispanIndexCategoryTheory.Limits.MultispanShape · cited by 102Limits.MultispanShapeCategoryTheory.Limits.MultispanIndex.left · cited by 85MultispanIndex.leftCategoryTheory.Limits.MultispanIndex.fst · cited by 40MultispanIndex.fstCategoryTheory.Limits.MultispanIndex.snd · cited by 40MultispanIndex.sndMultispanIndex.multispanCITED BYCITES

Cites13

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Cited by190

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