Mathlib Map

Theorems · Theorem · category theory

CoalgCat.leftUnitor_def

∀ (R : Type u) [inst : CommRing R] (X : CoalgCat R),
  CategoryTheory.MonoidalCategoryStruct.leftUnitor X = (Coalgebra.TensorProduct.lid R ↑X.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
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CommRing · cited by 17173CommRingCategoryTheory.Iso · cited by 3963CategoryTheory.IsoTensorProduct · cited by 2545TensorProductModuleCat.carrier · cited by 997ModuleCat.carrierCategoryTheory.MonoidalCategoryStruct.leftUnitor · cited by 437MonoidalCategoryStruct.le…CoalgCat · cited by 63CoalgCatCoalgCat.toModuleCat · cited by 51CoalgCat.toModuleCatCoalgCat.of · cited by 24CoalgCat.ofCoalgEquiv.toCoalgIso · cited by 8CoalgEquiv.toCoalgIsoCoalgebra.TensorProduct.lid · cited by 5TensorProduct.lidCoalgCat.leftUnitor_defCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.