Theorems · Theorem · commutative algebra
MvPolynomial.support_monomial
∀ {R : Type u} {σ : Type u_1} {a : R} {s : σ →₀ ℕ} [inst : CommSemiring R] [h : Decidable (a = 0)],
((MvPolynomial.monomial s) a).support = if a = 0 then ∅ else {s}- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.monomialstatement and proof · cited by 253
- MvPolynomial.supportstatement and proof · cited by 220
- Classical.decEqproof · cited by 134
Cited by10
Results whose statement or proof uses this declaration.
- MonomialOrder.degree_monomialproof · cited by 12
- MvPolynomial.totalDegree_monomialproof · cited by 2
- MvPolynomial.disjoint_support_monomialproof · cited by 2
- MvPolynomial.support_Xproof · cited by 1
- MonomialOrder.support_leadingTerm'proof · cited by 0
- MvPolynomial.support_sub_monomial_sub_monomial_subsetproof · cited by 0
- MvPolynomial.support_Cproof · cited by 0
- MvPolynomial.support_X_powproof · cited by 0
- MonomialOrder.support_leadingTermproof · cited by 0
- MvPolynomial.monomial_mem_restrictSupportproof · cited by 0