Theorems · Theorem · commutative algebra
Algebra.PreSubmersivePresentation.baseChange_jacobian
∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(T : Type u_1) [inst_3 : CommRing T] [inst_4 : Algebra R T] (P : Algebra.PreSubmersivePresentation R S ι σ)
[inst_5 : Finite σ], (Algebra.PreSubmersivePresentation.baseChange T P).jacobian = 1 ⊗ₜ[R] P.jacobian- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fintypeproof · cited by 7,736
- Algebra.algebraMapproof · cited by 4,706
- Matrixproof · cited by 4,303
- Finitestatement and proof · cited by 3,029
- TensorProductstatement and proof · cited by 2,545
- MvPolynomialproof · cited by 2,140
- TensorProduct.tmulstatement and proof · cited by 1,182
- Matrix.detproof · cited by 665
- Matrix.extproof · cited by 540
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.UniversalFactorizationRing.jacobian_resentationproof · cited by 1