Theorems · Definition · category theory
SheafOfModules.Hom.casesOn
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{J : CategoryTheory.GrothendieckTopology C} →
{R : CategoryTheory.Sheaf J RingCat} →
{X Y : SheafOfModules R} →
{motive : X.Hom Y → Sort u_1} → (t : X.Hom Y) → ((val : X.val ⟶ Y.val) → motive { val := val }) → motive t- Defined in
- Mathlib.Algebra.Category.ModuleCat.Sheaf
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 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.
Cites13
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
- Oppositestatement · cited by 8,081
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement and proof · cited by 763
- RingCatstatement and proof · cited by 473
- PresheafOfModulesstatement · cited by 247
- SheafOfModulesstatement and proof · cited by 188
- SheafOfModules.valstatement and proof · cited by 55
Cited by2
Results whose statement or proof uses this declaration.
- SheafOfModules.Hom.noConfusionproof · cited by 0
- SheafOfModules.Hom.noConfusionTypeproof · cited by 0