Theorems · Theorem · commutative algebra
Finsupp.degree_eq_zero_iff
∀ {σ : Type u_1} {R : Type u_5} [inst : AddCommMonoid R] [inst_1 : PartialOrder R] [CanonicallyOrderedAdd R]
(d : σ →₀ R), Finsupp.degree d = 0 ↔ d = 0- Defined in
- Mathlib.Data.Finsupp.Weight
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- CanonicallyOrderedAddstatement and proof · cited by 229
- Finsupp.degreestatement · cited by 94
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.one_le_order_iff_constCoeff_eq_zeroproof · cited by 2
- MvPowerSeries.coeff_eq_zero_of_constantCoeff_nilpotentproof · cited by 2
- MvPolynomial.dvd_monomial_mul_iff_existsproof · cited by 1