Theorems · Theorem · category theory
CoalgCat.toCoalgHom_id
∀ {R : Type u} [inst : CommRing R] {M : CoalgCat R},
CoalgCat.Hom.toCoalgHom (CategoryTheory.CategoryStruct.id M) = CoalgHom.id R ↑M.toModuleCat- Defined in
- Mathlib.Algebra.Category.CoalgCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites8
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.CategoryStruct.idstatement · cited by 6,235
- ModuleCat.carrierstatement · cited by 997
- CoalgHomstatement · cited by 105
- CoalgCatstatement and proof · cited by 63
- CoalgCat.toModuleCatstatement · cited by 51
- CoalgHom.idstatement · cited by 11
- CoalgCat.Hom.toCoalgHomstatement · cited by 6
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