Theorems · Theorem · commutative algebra
MvPolynomial.weightedTotalDegree_singleton
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (p : MvPolynomial σ R),
MvPolynomial.weightedTotalDegree (fun i => {i}) p = p.degreesThe degrees of a polynomial p is a special case of the weightedTotalDegree of p where
the weights are singletons containing each variable.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Multisetstatement and proof · cited by 2,627
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.degreesstatement · cited by 51
- MvPolynomial.weightedTotalDegreestatement and proof · cited by 11
- MvPolynomial.degrees_defproof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.