Theorems · Definition · commutative algebra
MvPolynomial.monomial
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → (σ →₀ ℕ) → R →ₗ[R] MvPolynomial σ Rmonomial s a is the monomial with coefficient a and exponents given by s
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 253 results in Mathlib
- Foundations
- Depth 81 from the axioms, rests on 1,115 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.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AddMonoidAlgebra.lsingleproof · cited by 14
Cited by269
Results whose statement or proof uses this declaration.
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.Cproof · cited by 400
- wittPolynomialproof · cited by 54
- Algebra.Generators.compproof · cited by 52
- MvPolynomial.induction_onproof · cited by 43
- MvPolynomial.map_Xproof · cited by 42
- MvPolynomial.coeff_monomialstatement · cited by 32
- Polynomial.homogenizeproof · cited by 30
- MonomialOrder.leadingTermproof · cited by 29
- MvPolynomial.eval₂_mulproof · cited by 21
- MvPolynomial.monomial_eqstatement and proof · cited by 20
- MvPolynomial.monomial_zerostatement · cited by 19
Showing the 200 most cited of 269.