Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.jacobian_isUnit
∀ {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] (self : Algebra.SubmersivePresentation R S ι σ), IsUnit self.jacobian- Cited by
- 7 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- IsUnitstatement · cited by 1,602
- Algebra.SubmersivePresentationstatement and proof · cited by 52
- Algebra.SubmersivePresentation.toPreSubmersivePresentationstatement · cited by 47
- Algebra.PreSubmersivePresentation.jacobianstatement · cited by 31
Cited by8
Results whose statement or proof uses this declaration.
- Algebra.SubmersivePresentation.coeffsproof · cited by 4
- Algebra.SubmersivePresentation.map_invJacobianOfHasCoeffsstatement · cited by 2
- Algebra.SubmersivePresentation.exists_sum_eq_σ_jacobian_mul_σ_jacobian_inv_sub_onestatement and proof · cited by 1
- Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomialproof · cited by 1
- Algebra.SubmersivePresentation.finite_coeffsproof · cited by 1
- Algebra.SubmersivePresentation.jacobianRelations_specstatement and proof · cited by 1
- Algebra.SubmersivePresentation.aeval_invJacobianOfHasCoeffsstatement and proof · cited by 0