Theorems · Theorem · commutative algebra
MvPolynomial.nonempty_support_finSuccEquiv
∀ {R : Type u} [inst : CommSemiring R] {n : ℕ} {f : MvPolynomial (Fin (n + 1)) R},
f ≠ 0 → ((MvPolynomial.finSuccEquiv R n) f).support.Nonempty- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Finset.Nonemptystatement · cited by 1,001
- Polynomial.supportstatement · cited by 237
- MvPolynomial.finSuccEquivstatement · cited by 22
- Polynomial.support_nonemptyproof · cited by 7
- EmbeddingLike.map_ne_zero_iffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.degree_finSuccEquivproof · cited by 2