Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.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] [inst_3 : Finite σ] (P : Algebra.SubmersivePresentation R S ι σ), P.coeffs.Finite- Cited by
- 1 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Units.valproof · cited by 1,966
- Set.Finitestatement · cited by 1,814
- IsUnit.unitproof · cited by 252
- Algebra.Presentation.toGeneratorsproof · cited by 104
- Algebra.PreSubmersivePresentation.toPresentationproof · cited by 84
- Set.Finite.unionproof · cited by 74
- Set.finite_univproof · cited by 52
- Algebra.SubmersivePresentationstatement and proof · cited by 52
- Algebra.SubmersivePresentation.toPreSubmersivePresentationproof · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmoothOfRelativeDimension.exists_subalgebra_fgproof · cited by 1