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Theorems · Definition · ring theory

SkewPolynomial.X

{R : Type u_1} → [inst : Semiring R] → SkewPolynomial R

X is the SkewPolynomial variable (aka indeterminate).

Defined in
Mathlib.Algebra.SkewPolynomial.Basic
Cited by
27 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SkewPolynomial.C_mul_X_pow_eq_monomial · cited by 3SkewPolynomial.C_mul_X_po…SkewPolynomial.C_mul_X_eq_monomial · cited by 2SkewPolynomial.C_mul_X_eq…SkewPolynomial.monomial_mul_X · cited by 2SkewPolynomial.monomial_m…SkewPolynomial.monomial_one_one_eq_X · cited by 2SkewPolynomial.monomial_o…SkewPolynomial.X_mul · cited by 2SkewPolynomial.X_mulSkewPolynomial.X_pow_eq_monomial · cited by 2SkewPolynomial.X_pow_eq_m…SkewPolynomial.support_C_mul_X_pow_subset · cited by 2SkewPolynomial.support_C_…SkewPolynomial.monomial_mul_X_pow · cited by 1SkewPolynomial.monomial_m…SkewPolynomial.X_pow_mul · cited by 1SkewPolynomial.X_pow_mulSkewPolynomial.coeff_X · cited by 1SkewPolynomial.coeff_XSkewPolynomial.coeff_X_one · cited by 1SkewPolynomial.coeff_X_oneSkewPolynomial.support_X_pow · cited by 1SkewPolynomial.support_X_…SkewPolynomial.support_trinomial_subset · cited by 0SkewPolynomial.support_tr…SkewPolynomial.X_mul_monomial · cited by 0SkewPolynomial.X_mul_mono…SkewPolynomial.X_ne_zero · cited by 0SkewPolynomial.X_ne_zeroDFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringSkewPolynomial · cited by 124SkewPolynomialSkewPolynomial.monomial · cited by 49SkewPolynomial.monomialSkewPolynomial.XCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by27

Results whose statement or proof uses this declaration.