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Theorems · Definition · category theory

CategoryTheory.Dial.tgt

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasFiniteProducts C] → CategoryTheory.Dial C → C

The target object

Defined in
Mathlib.CategoryTheory.Dialectica.Basic
Cited by
51 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProducts
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Around this declaration

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

CategoryTheory.Dial.tensorObjImpl · cited by 35Dial.tensorObjImplCategoryTheory.Dial.Hom.F · cited by 34Hom.FCategoryTheory.Dial.rel · cited by 15Dial.relCategoryTheory.Dial.hom_ext · cited by 13Dial.hom_extCategoryTheory.Dial.braiding · cited by 9Dial.braidingCategoryTheory.Dial.braiding_hom_F · cited by 5Dial.braiding_hom_FCategoryTheory.Dial.whiskerLeft_F · cited by 4Dial.whiskerLeft_FCategoryTheory.Dial.whiskerRight_F · cited by 4Dial.whiskerRight_FCategoryTheory.Dial.associatorImpl · cited by 4Dial.associatorImplCategoryTheory.Dial.associator_hom_F · cited by 4Dial.associator_hom_FCategoryTheory.Dial.isoMk · cited by 4Dial.isoMkCategoryTheory.Dial.leftUnitorImpl · cited by 4Dial.leftUnitorImplCategoryTheory.Dial.rightUnitorImpl · cited by 4Dial.rightUnitorImplCategoryTheory.Dial.Hom.ext · cited by 2Hom.extCategoryTheory.Dial.leftUnitor_hom_F · cited by 2Dial.leftUnitor_hom_FCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProducts · cited by 142Limits.HasFiniteProductsCategoryTheory.Dial · cited by 80CategoryTheory.DialDial.tgtCITED BYCITES

Cites3

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

Cited by64

Results whose statement or proof uses this declaration.