Theorems · Definition · commutative algebra
MvPolynomial.eval
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → (σ → R) → MvPolynomial σ R →+* REvaluate a polynomial p given a valuation f of all the variables
- Defined in
- Mathlib.Algebra.MvPolynomial.Eval
- Cited by
- 157 results in Mathlib
- Foundations
- Depth 94 from the axioms, rests on 1,864 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.eval₂Homproof · cited by 85
Cited by164
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.Equationproof · cited by 88
- WeierstrassCurve.Jacobian.Equationproof · cited by 67
- WeierstrassCurve.Jacobian.Nonsingularproof · cited by 40
- WeierstrassCurve.Projective.Nonsingularproof · cited by 37
- MvPolynomial.eval_Xstatement · cited by 23
- MvPolynomial.eval_Cstatement · cited by 20
- WeierstrassCurve.Jacobian.dblUproof · cited by 19
- WeierstrassCurve.Projective.dblUproof · cited by 11
- MvPolynomial.eval_mapstatement and proof · cited by 9
- WeierstrassCurve.Projective.eval_polynomialXstatement and proof · cited by 6
- MvPolynomial.funextstatement and proof · cited by 5
- WeierstrassCurve.Jacobian.eval_polynomialXstatement and proof · cited by 4