Theorems · Theorem · commutative algebra
MvPolynomial.degree_finSuccEquiv
∀ {R : Type u} [inst : CommSemiring R] {n : ℕ} {f : MvPolynomial (Fin (n + 1)) R},
f ≠ 0 → ((MvPolynomial.finSuccEquiv R n) f).degree = ↑(MvPolynomial.degreeOf 0 f)- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Finsetproof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- WithBotstatement and proof · cited by 1,498
- Polynomial.degreestatement · cited by 643
- WithBot.someproof · cited by 541
- Finset.supproof · cited by 530
- Polynomial.supportproof · cited by 237
Cited by2
Results whose statement or proof uses this declaration.
- ChevalleyThm.chevalley_mvPolynomialCproof · cited by 1
- MvPolynomial.natDegree_finSuccEquivproof · cited by 0