Theorems · Theorem · commutative algebra
MvPolynomial.vars_add_subset
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (p q : MvPolynomial σ R),
(p + q).vars ⊆ p.vars ∪ q.vars- Defined in
- Mathlib.Algebra.MvPolynomial.Variables
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.varsstatement and proof · cited by 79
- Multiset.mem_of_leproof · cited by 17
- MvPolynomial.vars_defproof · cited by 11
- MvPolynomial.degrees_add_leproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.vars_sum_subsetproof · cited by 4
- MvPolynomial.vars_add_of_disjointproof · cited by 2
- MvPolynomial.vars_sub_subsetproof · cited by 1