Theorems · Theorem · category theory
CommRingCat.coyonedaUnique_hom_app_hom_apply
∀ {n : Type v} [inst : Unique n] (X : CommRingCat) (a : Opposite.unop (Opposite.op n) → ↑X),
(CommRingCat.Hom.hom (CommRingCat.coyonedaUnique.hom.app X)) a = a default- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Unique
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- RingHomstatement · cited by 10,189
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.idstatement · cited by 3,333
- CommRingCatstatement and proof · cited by 2,333
- Opposite.unopstatement and proof · cited by 2,231
- CommRingCat.carrierstatement and proof · cited by 1,096
- CommRingCat.Hom.homstatement and proof · cited by 432
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