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Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.Point.Hom.ext_iff

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {J : CategoryTheory.GrothendieckTopology C} {Φ₁ Φ₂ : J.Point}
  {x y : Φ₁.Hom Φ₂}, x = y ↔ x.hom = y.hom
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Mathlib.CategoryTheory.Sites.Point.Category
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Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.GrothendieckTopology.Point · cited by 123GrothendieckTopology.PointCategoryTheory.GrothendieckTopology.Point.fiber · cited by 93Point.fiberCategoryTheory.GrothendieckTopology.Point.Hom.hom · cited by 12Hom.homCategoryTheory.GrothendieckTopology.Point.Hom · cited by 5Point.HomCategoryTheory.GrothendieckTopology.Point.Hom.ext · cited by 2Hom.extHom.ext_iffCITED BYCITES

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