Theorems · Theorem · commutative algebra
MvPolynomial.support_weightedHomogeneousComponent
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] {w : σ → M}
[inst_2 : DecidableEq M] (n : M) (p : MvPolynomial σ R),
((MvPolynomial.weightedHomogeneousComponent w n) p).support = {c ∈ p.support | (Finsupp.weight w) c = n}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- MvPolynomialstatement and proof · cited by 2,140
- Finset.filterstatement · cited by 949
- Finset.extproof · cited by 565
- MvPolynomial.coeffproof · cited by 315
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.support_homogeneousComponentproof · cited by 0