Theorems · Theorem · commutative algebra
Algebra.PreSubmersivePresentation.jacobian_eq_det_aevalDifferential
∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.PreSubmersivePresentation R S ι σ) [inst_3 : Finite σ], P.jacobian = LinearMap.det P.aevalDifferential- 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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Cites30
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- Fintypeproof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Finitestatement and proof · cited by 3,029
- RingHomClass.toRingHomproof · cited by 746
- Matrix.detproof · cited by 665
- MvPolynomial.aevalproof · cited by 298
- nonempty_fintypeproof · cited by 261
Cited by1
Results whose statement or proof uses this declaration.