Theorems · Theorem · commutative algebra
MvPolynomial.support_homogeneousComponent
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] (n : ℕ) (p : MvPolynomial σ R),
((MvPolynomial.homogeneousComponent n) p).support = {c ∈ p.support | Finsupp.degree c = n}- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites14
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
- RingHom.idstatement · cited by 18,349
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement and proof · cited by 3,230
- MvPolynomialstatement and proof · cited by 2,140
- Finset.filterstatement and proof · cited by 949
- MvPolynomial.supportstatement and proof · cited by 220
- Finsupp.degreestatement · cited by 94
- Finsupp.degree_eq_weight_oneproof · cited by 26
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