Theorems · Theorem · commutative algebra
MvPolynomial.degreeOf_monomial_eq
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (s : σ →₀ ℕ) (i : σ) {a : R},
a ≠ 0 → MvPolynomial.degreeOf i ((MvPolynomial.monomial s) a) = s i- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 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.
Cites13
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
- Multisetproof · cited by 2,627
- MvPolynomialstatement · cited by 2,140
- Multiset.countproof · cited by 302
- MvPolynomial.monomialstatement and proof · cited by 253
- MvPolynomial.degreeOfstatement · cited by 53
- Finsupp.count_toMultisetproof · cited by 10
- MvPolynomial.degreeOf_defproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.degreeOf_X_self_powproof · cited by 0