Theorems · Definition · commutative algebra
MvPolynomial.vars
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → MvPolynomial σ R → Finset σvars p is the set of variables appearing in the polynomial p
- Defined in
- Mathlib.Algebra.MvPolynomial.Variables
- Cited by
- 79 results in Mathlib
- Foundations
- Depth 74 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- MvPolynomialstatement and proof · cited by 2,140
- Multiset.toFinsetproof · cited by 230
- MvPolynomial.degreesproof · cited by 51
Cited by79
Results whose statement or proof uses this declaration.
- MvPolynomial.vars_defstatement · cited by 11
- MvPolynomial.mem_vars_iff_mem_supportstatement · cited by 9
- MvPolynomial.eval₂Hom_congr'statement and proof · cited by 9
- wittStructureInt_varsstatement and proof · cited by 7
- MvPolynomial.vars_mulstatement · cited by 6
- wittPolynomial_varsstatement and proof · cited by 4
- MvPolynomial.mem_supportedstatement and proof · cited by 4
- MvPolynomial.vars_Cstatement · cited by 4
- MvPolynomial.vars_monomialstatement · cited by 4
- MvPolynomial.vars_sum_subsetstatement and proof · cited by 4
- MvPolynomial.vars_add_subsetstatement and proof · cited by 3
- MvPolynomial.vars_powstatement and proof · cited by 3