Theorems · Theorem · commutative algebra
MvPolynomial.weightedHomogeneousComponent_finsupp
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] {w : σ → M}
(φ : MvPolynomial σ R), Function.HasFiniteSupport fun m => (MvPolynomial.weightedHomogeneousComponent w m) φ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Function.supportproof · cited by 610
- Set.Finite.subsetproof · cited by 285
- MvPolynomial.supportproof · cited by 220
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.sum_weightedHomogeneousComponentproof · cited by 1