Theorems · Definition · commutative algebra
MvPolynomial
Type u_1 → (R : Type u_2) → [CommSemiring R] → Type (max u_2 u_1)
Multivariate polynomial, where σ is the index set of the variables and
R is the coefficient ring
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 2,140 results in Mathlib
- Foundations
- Depth 18 from the axioms, rests on 117 definitions · uses propext
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- AddMonoidAlgebraproof · cited by 649
Cited by2,414
Results whose statement or proof uses this declaration.
- MvPolynomial.Xstatement · cited by 552
- MvPolynomial.Cstatement · cited by 400
- MvPolynomial.coeffstatement and proof · cited by 315
- MvPolynomial.aevalstatement and proof · cited by 298
- MvPolynomial.monomialstatement · cited by 253
- MvPolynomial.supportstatement and proof · cited by 220
- MvPolynomial.renamestatement · cited by 168
- MvPolynomial.evalstatement · cited by 157
- MvPolynomial.mapstatement · cited by 147
- Algebra.Generators.Ringproof · cited by 133
- MonomialOrder.degreestatement and proof · cited by 132
- MvPolynomial.aeval_Xstatement · cited by 105
Showing the 200 most cited of 2,414.