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Theorems · Theorem · category theory

CoalgCat.associator_def

∀ (R : Type u) [inst : CommRing R] (X Y Z : CoalgCat R),
  CategoryTheory.MonoidalCategoryStruct.associator X Y Z =
    (Coalgebra.TensorProduct.assoc R R ↑X.toModuleCat ↑Y.toModuleCat ↑Z.toModuleCat).toCoalgIso
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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CommRing · cited by 17173CommRingCategoryTheory.Iso · cited by 3963CategoryTheory.IsoTensorProduct · cited by 2545TensorProductModuleCat.carrier · cited by 997ModuleCat.carrierCategoryTheory.MonoidalCategoryStruct.associator · cited by 667MonoidalCategoryStruct.as…CoalgCat · cited by 63CoalgCatCoalgCat.toModuleCat · cited by 51CoalgCat.toModuleCatCoalgCat.of · cited by 24CoalgCat.ofCoalgEquiv.toCoalgIso · cited by 8CoalgEquiv.toCoalgIsoCoalgebra.TensorProduct.assoc · cited by 5TensorProduct.assocCoalgCat.associator_defCITED BYCITES

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