Theorems · Theorem · field theory

Polynomial.Bivariate.pderiv_zero_equivMvPolynomial

∀ {R : Type u_2} [inst : CommRing R] (p : Polynomial (Polynomial R)),
  (MvPolynomial.pderiv 0) ((Polynomial.Bivariate.equivMvPolynomial R) p) =
    (Polynomial.Bivariate.equivMvPolynomial R)
      (PolynomialModule.equivPolynomialSelf (Polynomial.derivative'.mapCoeffs p))

Defined in: Mathlib.Algebra.Polynomial.Bivariate
Cited by: 1 results in Mathlib
Foundations: Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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Cites54

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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mul_oneproof · cited by 3,885
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add_zeroproof · cited by 2,707
zero_addproof · cited by 2,366
MvPolynomialstatement · cited by 2,140
MulZeroClass.mul_zeroproof · cited by 2,091
AlgEquivstatement · cited by 1,681

Cited by1

Results whose statement or proof uses this declaration.

StandardEtalePresentation.toSubmersivePresentation_jacobianproof · cited by 0