Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.Point.Hom.ext
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {J : CategoryTheory.GrothendieckTopology C} {Φ₁ Φ₂ : J.Point}
{x y : Φ₁.Hom Φ₂}, x.hom = y.hom → x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.GrothendieckTopology.Pointstatement and proof · cited by 123
- CategoryTheory.GrothendieckTopology.Point.fiberstatement and proof · cited by 93
- CategoryTheory.GrothendieckTopology.Point.Hom.homstatement and proof · cited by 12
- CategoryTheory.GrothendieckTopology.Point.Homstatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.Point.hom_extproof · cited by 1
- CategoryTheory.GrothendieckTopology.Point.Hom.ext_iffproof · cited by 0