Theorems · Theorem · commutative algebra
Algebra.Presentation.finite_coeffs
∀ {R : Type u_1} {S : Type u_2} {ι : Type u_3} {σ : Type u_4} [inst : CommRing R] [inst_1 : CommRing S]
[inst_2 : Algebra R S] {P : Algebra.Presentation R S ι σ} [Finite σ], P.coeffs.Finite- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finitestatement and proof · cited by 3,029
- Set.Finitestatement · cited by 1,814
- Finset.finite_toSetproof · cited by 210
- Algebra.Presentationstatement and proof · cited by 70
- Algebra.Presentation.relationproof · cited by 49
- MvPolynomial.coeffsproof · cited by 24
- Set.finite_iUnionproof · cited by 14
- Algebra.Presentation.coeffsstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.SubmersivePresentation.finite_coeffsproof · cited by 1