Theorems · Definition · category theory
AugmentedSimplexCategory.tensorHom
{x₁ y₁ x₂ y₂ : AugmentedSimplexCategory} → (x₁ ⟶ y₁) → (x₂ ⟶ y₂) → (x₁.tensorObj x₂ ⟶ y₁.tensorObj y₂)The action of the tensor product on maps of AugmentedSimplexCategory.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.eqToHomproof · cited by 860
- SimplexCategory.lenproof · cited by 542
- CategoryTheory.Limits.IsInitial.toproof · cited by 119
- AugmentedSimplexCategorystatement and proof · cited by 66
- CategoryTheory.WithInitial.starInitialproof · cited by 23
- OrderEmbedding.toOrderHomproof · cited by 16
- Fin.castAddOrderEmbproof · cited by 3
- Fin.natAddOrderEmbproof · cited by 3
- AugmentedSimplexCategory.tensorHomOfproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AugmentedSimplexCategory.tensor_idproof · cited by 0