Theorems · Theorem · commutative algebra
MvPolynomial.vars_C
∀ {R : Type u} {σ : Type u_1} {r : R} [inst : CommSemiring R], (MvPolynomial.C r).vars = ∅- Defined in
- Mathlib.Algebra.MvPolynomial.Variables
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Multisetproof · cited by 2,627
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Cstatement and proof · cited by 400
- Multiset.toFinsetproof · cited by 230
- MvPolynomial.varsstatement · cited by 79
- MvPolynomial.vars_defproof · cited by 11
- MvPolynomial.degrees_Cproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- MvPolynomial.vars_oneproof · cited by 2
- MvPolynomial.vars_bind₁proof · cited by 1
- WittVector.wittPolyProdRemainder_varsproof · cited by 1
- MvPolynomial.vars_eq_empty_iff_eq_Cproof · cited by 0