Theorems · Theorem · category theory
BialgCat.tensorHom_def
∀ (R : Type u) [inst : CommRing R] {X₁ Y₁ X₂ Y₂ : BialgCat R} (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂),
CategoryTheory.MonoidalCategoryStruct.tensorHom f g =
BialgCat.ofHom (Bialgebra.TensorProduct.map f.toBialgHom' g.toBialgHom')- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites10
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
- CommRingstatement and proof · cited by 17,173
- TensorProductstatement · cited by 2,545
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement and proof · cited by 587
- BialgCatstatement and proof · cited by 40
- BialgCat.carrierstatement · cited by 34
- BialgCat.ofstatement · cited by 17
- Bialgebra.TensorProduct.mapstatement · cited by 8
- BialgCat.Hom.toBialgHom'statement · cited by 6
- BialgCat.ofHomstatement · cited by 6
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