Theorems · Theorem · commutative algebra
MvPolynomial.vars_0
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R], MvPolynomial.vars 0 = ∅- Defined in
- Mathlib.Algebra.MvPolynomial.Variables
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Multisetproof · cited by 2,627
- MvPolynomialstatement · cited by 2,140
- Multiset.toFinsetproof · cited by 230
- MvPolynomial.varsstatement · cited by 79
- MvPolynomial.vars_defproof · cited by 11
- Multiset.toFinset_zeroproof · cited by 8
- MvPolynomial.degrees_zeroproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.vars_sum_subsetproof · cited by 4
- MvPolynomial.vars_sum_of_disjointproof · cited by 1