Theorems · Theorem · commutative algebra
Finsupp.le_degree
∀ {σ : Type u_1} {R : Type u_5} [inst : AddCommMonoid R] [inst_1 : PartialOrder R] [CanonicallyOrderedAdd R] (s : σ)
(f : σ →₀ R), f s ≤ Finsupp.degree f- Defined in
- Mathlib.Data.Finsupp.Weight
- Cited by
- 1 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.
Cites9
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
- Finsupp.supportproof · cited by 828
- CanonicallyOrderedAddstatement and proof · cited by 229
- Finsupp.degreestatement and proof · cited by 94
- Finset.single_le_sum_of_canonicallyOrderedproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.coeff_toPolynomialAdjoinImageCompl_ne_zeroproof · cited by 2