Theorems · Theorem · commutative algebra
Algebra.Presentation.exists_presentation_fin
∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [Algebra.FinitePresentation R S], ∃ n m, Nonempty (Algebra.Presentation R S (Fin n) (Fin m))
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- Semiringproof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- Set.rangeproof · cited by 4,705
- AlgHomproof · cited by 3,236
- FunLikeproof · cited by 2,560
- MvPolynomialproof · cited by 2,140
- Ideal.spanproof · cited by 948
- DFunLikeproof · cited by 576
- MvPolynomial.Xproof · cited by 552
- RingHom.kerproof · cited by 363
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.Presentation.ofFinitePresentationVarsproof · cited by 1