Theorems · Theorem · commutative algebra
StandardEtalePresentation.aeval_val_equivMvPolynomial
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : StandardEtalePresentation R S) (p : Polynomial R),
(MvPolynomial.aeval P.toPresentation.val) ((Polynomial.Bivariate.equivMvPolynomial R) (Polynomial.C p)) =
(Polynomial.aeval P.x) p- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
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
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement · cited by 5,255
- AlgHomstatement and proof · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.aevalstatement and proof · cited by 615
Cited by1
Results whose statement or proof uses this declaration.
- StandardEtalePresentation.toSubmersivePresentation_jacobianproof · cited by 0