Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.aeval_jacobianOfHasCoeffs
∀ {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) (R₀ : Type u_5)
[inst_4 : CommRing R₀] [inst_5 : Algebra R₀ R] [inst_6 : Algebra R₀ S] [inst_7 : IsScalarTower R₀ R S]
[inst_8 : P.HasCoeffs R₀], (MvPolynomial.aeval P.val) (P.jacobianOfHasCoeffs R₀) = P.jacobian- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fintypeproof · cited by 7,736
- Finsuppstatement · cited by 5,255
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement · cited by 3,236
- Finitestatement and proof · cited by 3,029
- MvPolynomialstatement and proof · cited by 2,140
- Matrix.detproof · cited by 665
- MvPolynomial.aevalstatement and proof · cited by 298
- Fintype.ofFiniteproof · cited by 255
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