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Theorems · Definition · category theory

CategoryTheory.Join.pseudofunctorLeft

(D : Type u₂) →
  [CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Pseudofunctor CategoryTheory.Cat CategoryTheory.Cat

The pseudofunctor sending C to C ⋆ D.

Defined in
Mathlib.CategoryTheory.Join.Pseudofunctor
Cited by
10 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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

CategoryTheory.Join.pseudofunctorLeft_mapComp_hom_toNatTrans_app · cited by 0Join.pseudofunctorLeft_ma…CategoryTheory.Join.pseudofunctorLeft_mapComp_inv_toNatTrans_app · cited by 0Join.pseudofunctorLeft_ma…CategoryTheory.Join.pseudofunctorLeft_mapId_hom_toNatTrans_app · cited by 0Join.pseudofunctorLeft_ma…CategoryTheory.Join.pseudofunctorLeft_mapId_inv_toNatTrans_app · cited by 0Join.pseudofunctorLeft_ma…CategoryTheory.Join.pseudofunctorLeft_toPrelaxFunctor_toPrelaxFunctorStruct_map₂_toNatTrans_app · cited by 0Join.pseudofunctorLeft_to…CategoryTheory.Join.pseudofunctorLeft_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map_toFunctor_map · cited by 0Join.pseudofunctorLeft_to…CategoryTheory.Join.pseudofunctorLeft_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map_toFunctor_obj · cited by 0Join.pseudofunctorLeft_to…CategoryTheory.Join.pseudofunctorLeft_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_str_comp · cited by 0Join.pseudofunctorLeft_to…CategoryTheory.Join.pseudofunctorLeft_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_str_id · cited by 0Join.pseudofunctorLeft_to…CategoryTheory.Join.pseudofunctorLeft_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_α · cited by 0Join.pseudofunctorLeft_to…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.Cat · cited by 884CategoryTheory.CatCategoryTheory.Bundled.α · cited by 736Bundled.αCategoryTheory.Pseudofunctor · cited by 571CategoryTheory.Pseudofunc…CategoryTheory.Cat.Hom.toFunctor · cited by 531Hom.toFunctorCategoryTheory.Cat.Hom₂.toNatTrans · cited by 277Hom₂.toNatTransCategoryTheory.Cat.of · cited by 189Cat.ofCategoryTheory.Join · cited by 131CategoryTheory.JoinCategoryTheory.Functor.toCatHom · cited by 124Functor.toCatHomCategoryTheory.Join.mapPair · cited by 58Join.mapPairCategoryTheory.NatTrans.toCatHom₂ · cited by 18NatTrans.toCatHom₂CategoryTheory.Cat.Hom.isoMk · cited by 16Hom.isoMkCategoryTheory.Join.mapWhiskerRight · cited by 13Join.mapWhiskerRightJoin.pseudofunctorLeftCITED BYCITES

Cites17

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Cited by10

Results whose statement or proof uses this declaration.