Theorems · Theorem · category theory
CommAlgCat.ofHom_apply
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : CommRing X] [inst_2 : Algebra R X] [inst_3 : CommRing Y]
[inst_4 : Algebra R Y] (f : X →ₐ[R] Y) (x : X), (CategoryTheory.ConcreteCategory.hom (CommAlgCat.ofHom f)) x = f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- AlgHomstatement and proof · cited by 3,236
- CommAlgCatstatement · cited by 96
- CommAlgCat.carrierstatement · cited by 77
- CommAlgCat.ofstatement · cited by 33
- CommAlgCat.ofHomstatement · cited by 24
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