Theorems · Theorem · category theory
CoalgCat.toComon_map_hom
∀ (R : Type u) [inst : CommRing R] {X Y : CoalgCat R} (f : X ⟶ Y),
((CoalgCat.toComon R).map f).hom = ModuleCat.ofHom ↑f.toCoalgHom'- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- ModuleCatstatement · cited by 1,429
- ModuleCat.carrierstatement · cited by 997
- ModuleCat.ofstatement · cited by 594
- ModuleCat.ofHomstatement · cited by 200
- CategoryTheory.Comonstatement · cited by 125
- CoalgHomstatement · cited by 105
- SemilinearMapClass.semilinearMapstatement · cited by 80
- CoalgCatstatement and proof · cited by 63
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