Theorems · Theorem · category theory
SheafOfModules.sectionsMap_id
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : CategoryTheory.GrothendieckTopology C}
{R : CategoryTheory.Sheaf J RingCat} {M : SheafOfModules R} (s : M.sections),
SheafOfModules.sectionsMap (CategoryTheory.CategoryStruct.id M) s = s- Defined in
- Mathlib.Algebra.Category.ModuleCat.Sheaf
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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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.CategoryStruct.idstatement · cited by 6,235
- 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.sectionsstatement and proof · cited by 28
- SheafOfModules.sectionsMapstatement · cited by 12
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