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Theorems · Theorem · category theory

CategoryTheory.Dial.Hom.ext

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.Limits.HasFiniteProducts C}
  {inst_2 : CategoryTheory.Limits.HasPullbacks C} {X Y : CategoryTheory.Dial C} {x y : X.Hom Y},
  x.f = y.f → x.F = y.F → x = y
Defined in
Mathlib.CategoryTheory.Dialectica.Basic
Cited by
2 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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CategoryTheory.Dial.hom_ext · cited by 13Dial.hom_extCategoryTheory.Dial.Hom.ext_iff · cited by 0Hom.ext_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.pair · cited by 536Limits.pairCategoryTheory.Limits.HasPullbacks · cited by 439Limits.HasPullbacksCategoryTheory.Limits.prod · cited by 364Limits.prodCategoryTheory.Limits.prod.fst · cited by 189prod.fstCategoryTheory.Limits.HasFiniteProducts · cited by 142Limits.HasFiniteProductsCategoryTheory.Limits.prod.lift · cited by 123prod.liftCategoryTheory.Limits.prod.map · cited by 105prod.mapCategoryTheory.Dial · cited by 80CategoryTheory.DialCategoryTheory.Dial.src · cited by 71Dial.srcHom.extCITED BYCITES

Cites21

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Cited by2

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