Theorems · Theorem · category theory
Algebra.FiniteType.exists_fgAlgCatSkeleton
∀ (R : Type u) [inst : CommRing R] (A : Type v) [inst_1 : CommRing A] [inst_2 : Algebra R A] [h : Algebra.FiniteType R A], ∃ P, Nonempty (A ≃ₐ[R] ↑(FGAlgCatSkeleton.eval R P).obj)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- AlgHomproof · cited by 3,236
- MvPolynomialproof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- AlgEquiv.symmproof · cited by 615
- RingHom.kerproof · cited by 363
- CommAlgCatstatement · cited by 96
- Algebra.FiniteTypestatement and proof · cited by 84
- CommAlgCat.carrierstatement · cited by 77
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.FiniteType.exists_smallReprproof · cited by 1