Theorems · Theorem · commutative algebra
Algebra.FinitePresentation.iff
∀ {R : Type w₁} {A : Type w₂} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A],
Algebra.FinitePresentation R A ↔ ∃ n I x, I.FG- Defined in
- Mathlib.RingTheory.FinitePresentation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Finsuppstatement · cited by 5,255
- Idealstatement and proof · cited by 4,748
- AlgHomproof · cited by 3,236
- HasQuotient.Quotientstatement and proof · cited by 2,301
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement and proof · cited by 1,681
- AlgHom.toRingHomproof · cited by 490
- RingHom.kerproof · cited by 363
- Ideal.FGstatement and proof · cited by 99
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.FinitePresentation.transproof · cited by 8