Theorems · Definition · category theory
SheafOfModules.Hom.noConfusion
{P : Sort u_1} →
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{J : CategoryTheory.GrothendieckTopology C} →
{R : CategoryTheory.Sheaf J RingCat} →
{X Y : SheafOfModules R} →
{t : X.Hom Y} →
{C' : Type u₁} →
{inst' : CategoryTheory.Category.{v₁, u₁} C'} →
{J' : CategoryTheory.GrothendieckTopology C'} →
{R' : CategoryTheory.Sheaf J' RingCat} →
{X' Y' : SheafOfModules R'} →
{t' : X'.Hom Y'} →
C = C' →
inst ≍ inst' →
J ≍ J' → R ≍ R' → X ≍ X' → Y ≍ Y' → t ≍ t' → SheafOfModules.Hom.noConfusionType P t t'- Defined in
- Mathlib.Algebra.Category.ModuleCat.Sheaf
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Homproof · cited by 32,603
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Sheafstatement and proof · cited by 763
- RingCatstatement and proof · cited by 473
- SheafOfModulesstatement and proof · cited by 188
- SheafOfModules.valproof · cited by 55
- SheafOfModules.Homstatement and proof · cited by 5
- SheafOfModules.Hom.casesOnproof · cited by 0
- SheafOfModules.Hom.noConfusionTypestatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- SheafOfModules.Hom.mk.noConfusionproof · cited by 1