Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.isStandardSmooth
∀ {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), Algebra.IsStandardSmooth R S- Defined in
- Mathlib.RingTheory.Smooth.StandardSmooth
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.SubmersivePresentationstatement and proof · cited by 52
- Fintype.equivFinproof · cited by 51
- Algebra.IsStandardSmoothstatement · cited by 17
- Algebra.SubmersivePresentation.reindexproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmooth.of_basis_kaehlerDifferentialproof · cited by 2
- Algebra.IsStandardSmooth.of_algEquivproof · cited by 1