Theorems · Theorem · commutative algebra
MvPolynomial.vars_monomial
∀ {R : Type u} {σ : Type u_1} {r : R} {s : σ →₀ ℕ} [inst : CommSemiring R],
r ≠ 0 → ((MvPolynomial.monomial s) r).vars = s.support- Defined in
- Mathlib.Algebra.MvPolynomial.Variables
- Cited by
- 4 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.
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
- Finsetstatement and proof · cited by 13,712
- 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
- Finsupp.supportstatement and proof · cited by 828
- MvPolynomial.monomialstatement and proof · cited by 253
- Multiset.toFinsetproof · cited by 230
- MvPolynomial.varsstatement · cited by 79
Cited by4
Results whose statement or proof uses this declaration.
- MvPolynomial.vars_Xproof · cited by 2
- MvPolynomial.vars_monomial_singleproof · cited by 1
- MvPolynomial.irreducible_of_disjoint_supportproof · cited by 1
- WittVector.remainder_varsproof · cited by 1