Theorems · Definition · commutative algebra
Finsupp.degree
{σ : Type u_1} → {R : Type u_4} → [inst : AddCommMonoid R] → (σ →₀ R) →+ RThe degree of a finsupp function.
- Defined in
- Mathlib.Data.Finsupp.Weight
- Cited by
- 94 results in Mathlib
- Foundations
- Depth 72 from the axioms, rests on 1,356 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- AddMonoidHomstatement · cited by 3,230
- Finsupp.supportproof · cited by 828
Cited by96
Results whose statement or proof uses this declaration.
- Finsupp.degree_eq_weight_onestatement and proof · cited by 26
- Finsupp.degree_singlestatement · cited by 13
- MvPowerSeries.coeff_truncTotalstatement and proof · cited by 10
- MvPolynomial.isHomogeneous_monomialstatement and proof · cited by 6
- MvPolynomial.mem_pow_idealOfVars_iff'statement · cited by 5
- Finsupp.finite_of_degree_ltstatement · cited by 5
- MvPowerSeries.coeff_of_lt_orderstatement and proof · cited by 5
- Finsupp.degree_monostatement · cited by 5
- MvPowerSeries.coeff_truncTotal_eq_zerostatement and proof · cited by 4
- PowerSeries.order_eq_orderproof · cited by 4
- MvPowerSeries.le_orderstatement and proof · cited by 4