Theorems · Theorem · commutative algebra
MvPolynomial.mem_vars_iff_degreeOf_ne_zero
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] {p : MvPolynomial σ R} {i : σ},
i ∈ p.vars ↔ MvPolynomial.degreeOf i p ≠ 0- Defined in
- Mathlib.Algebra.MvPolynomial.Variables
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
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Cites7
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
- MvPolynomial.varsstatement · cited by 79
- MvPolynomial.degreeOfstatement · cited by 53
- MvPolynomial.degreesproof · cited by 51
- MvPolynomial.vars_defproof · cited by 11
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