Theorems · Theorem · commutative algebra
MvPolynomial.degrees_def
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (p : MvPolynomial σ R),
p.degrees = p.support.sup fun s => Finsupp.toMultiset s- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 75 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.
Cites15
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
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- Multisetstatement and proof · cited by 2,627
- MvPolynomialstatement and proof · cited by 2,140
- OrderBotproof · cited by 1,055
- Latticeproof · cited by 916
- SemilatticeSupproof · cited by 785
- Finset.supstatement and proof · cited by 530
- MvPolynomial.supportstatement and proof · cited by 220
Cited by8
Results whose statement or proof uses this declaration.
- MvPolynomial.degrees_mul_leproof · cited by 6
- MvPolynomial.mem_degreesproof · cited by 3
- MvPolynomial.degrees_add_leproof · cited by 2
- MvPolynomial.degrees_sub_leproof · cited by 2
- MvPolynomial.mem_restrictDegree_iff_supproof · cited by 1
- MvPolynomial.degrees_esymmproof · cited by 0
- MvPolynomial.weightedTotalDegree_singletonproof · cited by 0
- MvPolynomial.degrees_sum_leproof · cited by 0