Theorems · Definition · commutative algebra
MvPolynomial.X
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → σ → MvPolynomial σ RX n is the degree 1 monomial $X_n$.
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 552 results in Mathlib
- Foundations
- Depth 82 from the axioms, rests on 1,116 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- MvPolynomialstatement · cited by 2,140
- Finsupp.singleproof · cited by 943
- MvPolynomial.monomialproof · cited by 253
Cited by623
Results whose statement or proof uses this declaration.
- MvPolynomial.aeval_Xstatement · cited by 105
- MvPolynomial.algHom_extstatement and proof · cited by 55
- MvPolynomial.rename_Xstatement · cited by 48
- MvPolynomial.expandproof · cited by 44
- MvPolynomial.induction_onstatement and proof · cited by 43
- MvPolynomial.map_Xstatement · cited by 42
- MvPolynomial.optionEquivLeftproof · cited by 36
- MvPolynomial.eval₂_Xstatement · cited by 36
- Algebra.Generators.ofCompproof · cited by 32
- DividedPowerAlgebra.dpproof · cited by 31
- MvPolynomial.esymmproof · cited by 31
- MvPolynomial.bind₁_X_rightstatement · cited by 26
Showing the 200 most cited of 623.