Theorems · Theorem · commutative algebra
MvPolynomial.mem_supported_vars
∀ {σ : Type u_1} {R : Type u} [inst : CommSemiring R] (p : MvPolynomial σ R), p ∈ MvPolynomial.supported R ↑p.vars- Defined in
- Mathlib.Algebra.MvPolynomial.Supported
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 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 · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- le_reflproof · cited by 2,061
- Subalgebrastatement · cited by 1,353
- MvPolynomial.varsstatement and proof · cited by 79
- MvPolynomial.supportedstatement · cited by 23
- MvPolynomial.mem_supportedproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.derivation_eq_of_forall_mem_varsproof · cited by 2
- algebraicIndependent_of_finite_typeproof · cited by 1