Theorems · Theorem · commutative algebra
Finsupp.degree_eq_weight_one
∀ {σ : Type u_1} {R : Type u_5} [inst : Semiring R], Finsupp.degree = Finsupp.weight fun x => 1- Defined in
- Mathlib.Data.Finsupp.Weight
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement · cited by 5,255
- mul_oneproof · cited by 3,885
- AddMonoidHomstatement · cited by 3,230
- Finsupp.singleproof · cited by 943
- Finsupp.sumproof · cited by 481
- AddMonoidHom.extproof · cited by 149
- Finsupp.sum_single_indexproof · cited by 130
- Finsupp.degreestatement and proof · cited by 94
- Finsupp.weightstatement and proof · cited by 90
- Finsupp.degree_singleproof · cited by 13
Cited by26
Results whose statement or proof uses this declaration.
- MvPolynomial.isHomogeneous_monomialproof · cited by 6
- MvPowerSeries.coeff_of_lt_orderproof · cited by 5
- MvPowerSeries.le_orderproof · cited by 4
- MvPolynomial.IsHomogeneous.degree_eq_sum_deg_supportproof · cited by 3
- MvPowerSeries.order_leproof · cited by 2
- MvPowerSeries.coeff_eq_zero_of_constantCoeff_nilpotentproof · cited by 2
- MvPowerSeries.coeff_homogeneousComponentproof · cited by 2
- Finsupp.finite_of_degree_leproof · cited by 2
- MvPowerSeries.exists_coeff_ne_zero_and_orderproof · cited by 1
- MvPolynomial.coeff_homogeneousComponentproof · cited by 1
- MvPolynomial.homogeneousComponent_eq_zero'proof · cited by 1
- MvPolynomial.homogeneousSubmodule_eq_finsupp_supportedproof · cited by 1