Theorems · Theorem · category theory
commBialgCatEquivComonCommAlgCat_counitIso_inv_app
∀ (R : Type u) [inst : CommRing R] (X : (CategoryTheory.Mon (CommAlgCat R)ᵒᵖ)ᵒᵖ), (commBialgCatEquivComonCommAlgCat R).counitIso.inv.app X = CategoryTheory.CategoryStruct.id X
- Defined in
- Mathlib.Algebra.Category.CommBialgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.opstatement · cited by 1,948
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