Theorems · Theorem · commutative algebra
MvPolynomial.support_mul
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (p q : MvPolynomial σ R),
(p * q).support ⊆ p.support + q.support- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.supportstatement · cited by 220
- Finset.addstatement · cited by 133
- AddMonoidAlgebra.support_coeff_mul_subsetproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.coeff_mul_monomial'proof · cited by 3