Theorems · Theorem · commutative algebra
Polynomial.coe_X
∀ {R : Type u_1} [inst : Semiring R], ↑Polynomial.X = PowerSeries.X- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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.
- Semiringstatement and proof · cited by 13,802
- Polynomial.Xstatement · cited by 1,639
- PowerSeriesstatement · cited by 797
- PowerSeries.Xstatement · cited by 183
- Polynomial.toPowerSeriesstatement · cited by 96
- Polynomial.coe_monomialproof · cited by 5
Cited by12
Results whose statement or proof uses this declaration.
- RatFunc.coe_Xproof · cited by 2
- PowerSeries.substAlgHom_Xproof · cited by 2
- Polynomial.IsDistinguishedAt.degree_eq_coe_lift_order_mapproof · cited by 2
- Polynomial.IsDistinguishedAt.map_ne_zero_of_eq_mulproof · cited by 2
- PowerSeries.IsWeierstrassFactorization.isWeierstrassDivisionproof · cited by 1
- Polynomial.hilbertPoly_mul_one_sub_succproof · cited by 1
- PowerSeries.IsWeierstrassDivision.isWeierstrassFactorizationproof · cited by 1
- PowerSeries.binomialSeries_natproof · cited by 1
- PowerSeries.intValuation_Xproof · cited by 1
- Polynomial.eval₂_C_X_eq_coeproof · cited by 0
- PowerSeries.subst_rescale_of_degree_eq_oneproof · cited by 0
- PowerSeries.eval₂_Xproof · cited by 0