Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.jacobianOfHasCoeffs.congr_simp
∀ {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 P_1 : Algebra.SubmersivePresentation R S ι σ) (e_P : P = P_1)
(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], P.jacobianOfHasCoeffs R₀ = P_1.jacobianOfHasCoeffs R₀- Cited by
- 0 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- IsScalarTowerstatement and proof · cited by 3,896
- Finitestatement and proof · cited by 3,029
- MvPolynomialstatement · cited by 2,140
- Algebra.SubmersivePresentationstatement and proof · cited by 52
- Algebra.SubmersivePresentation.HasCoeffsstatement and proof · cited by 11
- Algebra.SubmersivePresentation.jacobianOfHasCoeffsstatement and proof · cited by 4
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