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CoalgCat.tensorHom_def

∀ (R : Type u) [inst : CommRing R] {X₁ Y₁ X₂ Y₂ : CoalgCat R} (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂),
  CategoryTheory.MonoidalCategoryStruct.tensorHom f g =
    CoalgCat.ofHom (Coalgebra.TensorProduct.map f.toCoalgHom' g.toCoalgHom')
Defined in
Mathlib.Algebra.Category.CoalgCat.Monoidal
Cited by
0 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Quiver.Hom · cited by 32603Quiver.HomCommRing · cited by 17173CommRingTensorProduct · cited by 2545TensorProductModuleCat.carrier · cited by 997ModuleCat.carrierCategoryTheory.MonoidalCategoryStruct.tensorHom · cited by 587MonoidalCategoryStruct.te…CoalgCat · cited by 63CoalgCatCoalgCat.toModuleCat · cited by 51CoalgCat.toModuleCatCoalgCat.of · cited by 24CoalgCat.ofCoalgCat.Hom.toCoalgHom' · cited by 11Hom.toCoalgHom'CoalgCat.ofHom · cited by 7CoalgCat.ofHomCoalgebra.TensorProduct.map · cited by 4TensorProduct.mapCoalgCat.tensorHom_defCITED BYCITES

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