Theorems · Definition · category theory
SemimoduleCat.MonoidalCategory.tensorHom
{R : Type u} →
[inst : CommSemiring R] →
{M N : SemimoduleCat R} →
{M' N' : SemimoduleCat R} →
(M ⟶ N) →
(M' ⟶ N') → (SemimoduleCat.MonoidalCategory.tensorObj M M' ⟶ SemimoduleCat.MonoidalCategory.tensorObj N N')(implementation) tensor product of morphisms R-modules
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CommSemiringstatement and proof · cited by 10,911
- TensorProduct.mapproof · cited by 250
- SemimoduleCatstatement and proof · cited by 108
- SemimoduleCat.Hom.homproof · cited by 45
- SemimoduleCat.ofHomproof · cited by 12
- SemimoduleCat.MonoidalCategory.tensorObjstatement · cited by 12
Cited by7
Results whose statement or proof uses this declaration.
- SemimoduleCat.MonoidalCategory.leftUnitor_naturalitystatement and proof · cited by 0
- SemimoduleCat.MonoidalCategory.rightUnitor_naturalitystatement and proof · cited by 0
- SemimoduleCat.MonoidalCategory.tensorHom_comp_tensorHomstatement and proof · cited by 0
- SemimoduleCat.MonoidalCategory.tensorHom_defstatement · cited by 0
- SemimoduleCat.MonoidalCategory.associator_naturalitystatement and proof · cited by 0
- SemimoduleCat.MonoidalCategory.trianglestatement · cited by 0
- SemimoduleCat.MonoidalCategory.id_tensorHom_idstatement and proof · cited by 0