Theorems · Theorem · category theory
AlgCat.hom_hom_leftUnitor
∀ {R : Type u} [inst : CommRing R] {M : AlgCat R},
AlgCat.Hom.hom (CategoryTheory.MonoidalCategoryStruct.leftUnitor M).hom = ↑(Algebra.TensorProduct.lid R ↑M)- Defined in
- Mathlib.Algebra.Category.AlgCat.Monoidal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Iso.homstatement · cited by 7,684
- AlgHomstatement · cited by 3,236
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- TensorProductstatement · cited by 2,545
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement · cited by 437
- AlgEquiv.toAlgHomstatement · cited by 273
- AlgCatstatement and proof · cited by 75
- AlgCat.carrierstatement · cited by 61
- AlgCat.Hom.homstatement · cited by 27
- Algebra.TensorProduct.lidstatement · cited by 10
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