Mathlib Map

Theorems · Definition · category theory

SemimoduleCat.MonoidalCategory.rightUnitor

{R : Type u} → [inst : CommSemiring R] → (M : SemimoduleCat R) → SemimoduleCat.of R (TensorProduct R (↑M) R) ≅ M

(implementation) the right unitor for R-modules

Defined in
Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
Cited by
3 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Quot.sound
Assumes
CommSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SemimoduleCat.MonoidalCategory.triangle · cited by 0MonoidalCategory.triangleSemimoduleCat.MonoidalCategory.rightUnitor_def · cited by 0MonoidalCategory.rightUni…SemimoduleCat.MonoidalCategory.rightUnitor_naturality · cited by 0MonoidalCategory.rightUni…CommSemiring · cited by 10911CommSemiringCategoryTheory.Iso · cited by 3963CategoryTheory.IsoTensorProduct · cited by 2545TensorProductSemimoduleCat · cited by 108SemimoduleCatSemimoduleCat.carrier · cited by 87SemimoduleCat.carrierTensorProduct.rid · cited by 63TensorProduct.ridSemimoduleCat.of · cited by 25SemimoduleCat.ofLinearEquiv.toModuleIsoₛ · cited by 7LinearEquiv.toModuleIsoₛMonoidalCategory.rightUnitorCITED BYCITES

Cites8

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Cited by3

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