Theorems · Theorem · category theory
PresheafOfModules.forgetToPresheafModuleCatObj_obj
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat} (X : Cᵒᵖ)
(hX : CategoryTheory.Limits.IsInitial X) (M : PresheafOfModules R) (Y : Cᵒᵖ),
(PresheafOfModules.forgetToPresheafModuleCatObj X hX M).obj Y =
PresheafOfModules.forgetToPresheafModuleCatObjObj X hX M Y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites11
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- ModuleCatstatement · cited by 1,429
- RingCatstatement and proof · cited by 473
- RingCat.carrierstatement · cited by 279
- PresheafOfModulesstatement and proof · cited by 247
- CategoryTheory.Limits.IsInitialstatement and proof · cited by 158
- PresheafOfModules.forgetToPresheafModuleCatObjstatement and proof · cited by 4
- PresheafOfModules.forgetToPresheafModuleCatObjObjstatement · cited by 4
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