Theorems · Theorem · algebraic geometry
AlgebraicGeometry.PresheafedSpace.Hom.ext
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {X Y : AlgebraicGeometry.PresheafedSpace C}
(α β : X.Hom Y) (w : α.base = β.base),
CategoryTheory.CategoryStruct.comp α.c (CategoryTheory.Functor.whiskerRight (CategoryTheory.eqToHom ⋯) X.presheaf) =
β.c →
α = β- Cited by
- 6 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- CategoryTheory.Category.comp_idproof · cited by 2,119
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- TopCatstatement · cited by 1,889
Cited by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.PresheafedSpace.extproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.extproof · cited by 0