Theorems · Theorem · commutative algebra
MvPolynomial.nonempty_support_optionEquivLeft
∀ (R : Type u) {σ : Type u_1} [inst : CommSemiring R] {f : MvPolynomial (Option σ) R},
f ≠ 0 → ((MvPolynomial.optionEquivLeft R σ) f).support.Nonempty- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.optionEquivLeftstatement · cited by 36
- 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_optionEquivLeftproof · cited by 1