Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.isStandardSmoothOfRelativeDimension
∀ {n : ℕ} {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S]
[inst_2 : Algebra R S] [inst_3 : Finite σ] [Finite ι] (P : Algebra.SubmersivePresentation R S ι σ),
P.dimension = n → Algebra.IsStandardSmoothOfRelativeDimension n R S- Defined in
- Mathlib.RingTheory.Smooth.StandardSmooth
- 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.
Cites15
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
- Equiv.symmproof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- Fintype.cardproof · cited by 1,386
- Algebra.PreSubmersivePresentation.toPresentationstatement and proof · cited by 84
- Algebra.SubmersivePresentationstatement and proof · cited by 52
- Fintype.equivFinproof · cited by 51
- Algebra.SubmersivePresentation.toPreSubmersivePresentationstatement and proof · cited by 47
- Algebra.IsStandardSmoothOfRelativeDimensionstatement · cited by 17
- Algebra.Presentation.dimensionstatement and proof · cited by 16
- Algebra.SubmersivePresentation.reindexproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmoothOfRelativeDimension.of_algEquivproof · cited by 0