Theorems · Theorem · commutative algebra
MvPolynomial.degrees_monomial
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (s : σ →₀ ℕ) (a : R),
((MvPolynomial.monomial s) a).degrees ≤ Finsupp.toMultiset s- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- Multisetstatement · cited by 2,627
- MvPolynomialstatement · cited by 2,140
- le_rflproof · cited by 1,558
- bot_leproof · cited by 306
- MvPolynomial.monomialstatement · cited by 253
- Eq.trans_leproof · cited by 155
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.degrees_Cproof · cited by 8
- MvPolynomial.degrees_X'proof · cited by 3
- MvPolynomial.degreesLE_addproof · cited by 0