Theorems · Definition · category theory
SemimoduleCat.carrier
{R : Type u} → [inst : Semiring R] → SemimoduleCat R → Type vthe underlying type of an object in SemimoduleCat R
- Defined in
- Mathlib.Algebra.Category.ModuleCat.Semi
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- SemimoduleCatstatement and proof · cited by 108
Cited by111
Results whose statement or proof uses this declaration.
- SemimoduleCat.Hom.homstatement · cited by 45
- SemimoduleCat.hom_extstatement · cited by 15
- SemimoduleCat.MonoidalCategory.tensorObjproof · cited by 12
- CommRing.Pic.AsModuleproof · cited by 11
- SemimoduleCat.braidingproof · cited by 5
- SemimoduleCat.homAddEquivstatement and proof · cited by 4
- SemimoduleCat.MonoidalCategory.associatorproof · cited by 4
- SemimoduleCat.homLinearEquivstatement and proof · cited by 3
- CategoryTheory.Iso.toLinearEquivₛstatement · cited by 3
- SemimoduleCat.Hom.hom'statement · cited by 3
- SemimoduleCat.Hom.hom₂statement · cited by 3
- SemimoduleCat.ofHom₂statement and proof · cited by 3